detailed information: The input equation set is:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | A | + | | E | + | | I | + | | M | = | | | 1147 10 | | (5) |
| | B | + | | F | + | | J | + | | N | = | | | 1017 10 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| | A | + | | F | + | | K | + | | P | = | | | 1247 10 | | (9) |
| | B | + | | E | + | | L | + | | P | = | | | 1047 10 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| | A | + | | G | + | | L | + | | N | = | | | 1077 10 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
| Question solving process:
Subtract both sides of equation (1) from both sides of equation (5) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (5) |
| | B | + | | F | + | | J | + | | N | = | | | 1017 10 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| | A | + | | F | + | | K | + | | P | = | | | 1247 10 | | (9) |
| | B | + | | E | + | | L | + | | P | = | | | 1047 10 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| | A | + | | G | + | | L | + | | N | = | | | 1077 10 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (1) from both sides of equation (9) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (5) |
| | B | + | | F | + | | J | + | | N | = | | | 1017 10 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | B | | -11 | C | | -1 | D | + | | F | + | | K | + | | P | = | | | 377 25 | | (9) |
| | B | + | | E | + | | L | + | | P | = | | | 1047 10 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| | A | + | | G | + | | L | + | | N | = | | | 1077 10 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (1) from both sides of equation (13) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (5) |
| | B | + | | F | + | | J | + | | N | = | | | 1017 10 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | B | | -11 | C | | -1 | D | + | | F | + | | K | + | | P | = | | | 377 25 | | (9) |
| | B | + | | E | + | | L | + | | P | = | | | 1047 10 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | B | | -11 | C | | -1 | D | + | | G | + | | L | + | | N | = | | - | 48 25 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
交After the exchange of equation (2) and equation (5), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | B | + | | F | + | | J | + | | N | = | | | 1017 10 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | B | | -11 | C | | -1 | D | + | | F | + | | K | + | | P | = | | | 377 25 | | (9) |
| | B | + | | E | + | | L | + | | P | = | | | 1047 10 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | B | | -11 | C | | -1 | D | + | | G | + | | L | + | | N | = | | - | 48 25 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Add both sides of equation (2) to both sides of equation (6) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | B | | -11 | C | | -1 | D | + | | F | + | | K | + | | P | = | | | 377 25 | | (9) |
| | B | + | | E | + | | L | + | | P | = | | | 1047 10 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | B | | -11 | C | | -1 | D | + | | G | + | | L | + | | N | = | | - | 48 25 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (2) from both sides of equation (9) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | B | + | | E | + | | L | + | | P | = | | | 1047 10 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | B | | -11 | C | | -1 | D | + | | G | + | | L | + | | N | = | | - | 48 25 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Add both sides of equation (2) to both sides of equation (10) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| -11 | C | | -1 | D | + | | 2 | E | + | | I | + | | L | + | | M | + | | P | = | | | 5489 50 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | B | | -11 | C | | -1 | D | + | | G | + | | L | + | | N | = | | - | 48 25 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (2) from both sides of equation (13) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| -11 | C | | -1 | D | + | | 2 | E | + | | I | + | | L | + | | M | + | | P | = | | | 5489 50 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| | B | + | | H | + | | K | + | | M | = | | | 1147 10 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Add both sides of equation (2) to both sides of equation (14) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| -11 | C | | -1 | D | + | | 2 | E | + | | I | + | | L | + | | M | + | | P | = | | | 5489 50 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -11 | C | | -1 | D | + | | E | + | | H | + | | I | + | | K | + | | 2 | M | = | | | 5989 50 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
交After the exchange of equation (3) and equation (6), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | C | + | | G | + | | K | + | | O | = | | | 1057 10 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| -11 | C | | -1 | D | + | | 2 | E | + | | I | + | | L | + | | M | + | | P | = | | | 5489 50 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -11 | C | | -1 | D | + | | E | + | | H | + | | I | + | | K | + | | 2 | M | = | | | 5989 50 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Divide the two sides of equation (3) by 11, the equation can be obtained: | -1 | C | | - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | = | | | 5339 550 | (17) | , then add the two sides of equation (17) to both sides of equation (7), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| -11 | C | | -1 | D | + | | 2 | E | + | | I | + | | L | + | | M | + | | P | = | | | 5489 50 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -11 | C | | -1 | D | + | | E | + | | H | + | | I | + | | K | + | | 2 | M | = | | | 5989 50 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (3) from both sides of equation (10) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| | C | + | | H | + | | I | + | | N | = | | | 867 10 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -11 | C | | -1 | D | + | | E | + | | H | + | | I | + | | K | + | | 2 | M | = | | | 5989 50 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Divide the two sides of equation (3) by 11, the equation can be obtained: | -1 | C | | - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | = | | | 5339 550 | (18) | , then add the two sides of equation (18) to both sides of equation (11), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | H | + | | | 12 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 12 11 | N | = | | | 26512 275 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -11 | C | | -1 | D | + | | E | + | | H | + | | I | + | | K | + | | 2 | M | = | | | 5989 50 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (3) from both sides of equation (14) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | H | + | | | 12 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 12 11 | N | = | | | 26512 275 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | C | + | | E | + | | J | + | | P | = | | | 1057 10 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Divide the two sides of equation (3) by 11, the equation can be obtained: | -1 | C | | - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | = | | | 5339 550 | (19) | , then add the two sides of equation (19) to both sides of equation (15), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | H | + | | | 12 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 12 11 | N | = | | | 26512 275 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| - | 1 11 | D | + | | | 12 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 12 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | + | | P | = | | | 31737 275 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
交After the exchange of equation (4) and equation (7), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | D | + | | H | + | | L | + | | P | = | | | 1097 10 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | H | + | | | 12 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 12 11 | N | = | | | 26512 275 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| - | 1 11 | D | + | | | 12 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 12 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | + | | P | = | | | 31737 275 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Multiply both sides of equation (4) by 11, the equation can be obtained: | -1 | D | + | | E | + | | F | + | | 11 | G | + | | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 11 | O | = | | | 31737 25 | (20) | , then add the two sides of equation (20) to both sides of equation (8), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | E | + | | F | + | | 11 | G | + | | H | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 68959 50 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | H | + | | | 12 11 | I | + | | | 1 11 | J | + | | | 1 11 | M | + | | | 12 11 | N | = | | | 26512 275 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| - | 1 11 | D | + | | | 12 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 12 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | + | | P | = | | | 31737 275 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (4) from both sides of equation (11) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | E | + | | F | + | | 11 | G | + | | H | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 68959 50 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | D | + | | G | + | | J | + | | M | = | | | 1157 10 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| - | 1 11 | D | + | | | 12 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 12 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | + | | P | = | | | 31737 275 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Multiply both sides of equation (4) by 11, the equation can be obtained: | -1 | D | + | | E | + | | F | + | | 11 | G | + | | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 11 | O | = | | | 31737 25 | (21) | , then add the two sides of equation (21) to both sides of equation (12), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | E | + | | F | + | | 11 | G | + | | H | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 68959 50 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | E | + | | F | + | | 12 | G | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 69259 50 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| - | 1 11 | D | + | | | 12 11 | E | + | | | 1 11 | F | + | | | 1 11 | I | + | | | 12 11 | J | + | | | 1 11 | M | + | | | 1 11 | N | + | | P | = | | | 31737 275 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Subtract both sides of equation (4) from both sides of equation (15) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | E | + | | F | + | | 11 | G | + | | H | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 68959 50 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | E | + | | F | + | | 12 | G | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 69259 50 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | E | | -1 | G | + | | J | | -1 | K | | -1 | O | + | | P | = | | 0 | | (15) |
| | D | + | | F | + | | I | + | | O | = | | | 1047 10 | | (16) |
|
Multiply both sides of equation (4) by 11, the equation can be obtained: | -1 | D | + | | E | + | | F | + | | 11 | G | + | | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 11 | O | = | | | 31737 25 | (22) | , then add the two sides of equation (22) to both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | E | + | | F | + | | 11 | G | + | | H | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 68959 50 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | E | + | | F | + | | 12 | G | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 69259 50 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | E | | -1 | G | + | | J | | -1 | K | | -1 | O | + | | P | = | | 0 | | (15) |
| | E | + | | 2 | F | + | | 11 | G | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 68709 50 | | (16) |
|
Subtract both sides of equation (5) from both sides of equation (8) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| -1 | E | + | | F | | -1 | I | + | | K | | -1 | M | + | | P | = | | 10 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | E | + | | F | + | | 12 | G | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 69259 50 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | E | | -1 | G | + | | J | | -1 | K | | -1 | O | + | | P | = | | 0 | | (15) |
| | E | + | | 2 | F | + | | 11 | G | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 68709 50 | | (16) |
|
Add both sides of equation (5) to both sides of equation (9) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (9) |
| | E | | -1 | F | | -1 | J | + | | L | | -1 | N | + | | P | = | | 3 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | E | + | | F | + | | 12 | G | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 69259 50 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | E | | -1 | G | + | | J | | -1 | K | | -1 | O | + | | P | = | | 0 | | (15) |
| | E | + | | 2 | F | + | | 11 | G | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 68709 50 | | (16) |
|
Subtract both sides of equation (5) from both sides of equation (10) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (9) |
| -2 | F | | -1 | G | | -1 | H | | -1 | J | + | | L | | -1 | N | + | | P | = | | - | 5391 50 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | E | + | | F | + | | 12 | G | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 69259 50 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | E | | -1 | G | + | | J | | -1 | K | | -1 | O | + | | P | = | | 0 | | (15) |
| | E | + | | 2 | F | + | | 11 | G | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 68709 50 | | (16) |
|
Subtract both sides of equation (5) from both sides of equation (12) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (9) |
| -2 | F | | -1 | G | | -1 | H | | -1 | J | + | | L | | -1 | N | + | | P | = | | - | 5391 50 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| -1 | E | + | | G | | -1 | I | + | | L | | -1 | M | + | | N | = | | -7 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | E | | -1 | G | + | | J | | -1 | K | | -1 | O | + | | P | = | | 0 | | (15) |
| | E | + | | 2 | F | + | | 11 | G | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 68709 50 | | (16) |
|
Add both sides of equation (5) to both sides of equation (13) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (9) |
| -2 | F | | -1 | G | | -1 | H | | -1 | J | + | | L | | -1 | N | + | | P | = | | - | 5391 50 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | F | + | | 2 | G | + | | H | | -1 | I | + | | L | | -1 | M | + | | N | = | | | 5191 50 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| | E | | -1 | G | + | | J | | -1 | K | | -1 | O | + | | P | = | | 0 | | (15) |
| | E | + | | 2 | F | + | | 11 | G | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 68709 50 | | (16) |
|
Subtract both sides of equation (5) from both sides of equation (15) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (9) |
| -2 | F | | -1 | G | | -1 | H | | -1 | J | + | | L | | -1 | N | + | | P | = | | - | 5391 50 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | F | + | | 2 | G | + | | H | | -1 | I | + | | L | | -1 | M | + | | N | = | | | 5191 50 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| -1 | F | | -2 | G | | -1 | H | + | | J | | -1 | K | | -1 | O | + | | P | = | | - | 5541 50 | | (15) |
| | E | + | | 2 | F | + | | 11 | G | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 68709 50 | | (16) |
|
Subtract both sides of equation (5) from both sides of equation (16) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (9) |
| -2 | F | | -1 | G | | -1 | H | | -1 | J | + | | L | | -1 | N | + | | P | = | | - | 5391 50 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | F | + | | 2 | G | + | | H | | -1 | I | + | | L | | -1 | M | + | | N | = | | | 5191 50 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| -1 | F | | -2 | G | | -1 | H | + | | J | | -1 | K | | -1 | O | + | | P | = | | - | 5541 50 | | (15) |
| | F | + | | 10 | G | | -1 | H | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 31584 25 | | (16) |
|
交After the exchange of equation (6) and equation (9), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -2 | F | | -1 | G | | -1 | H | | -1 | J | + | | L | | -1 | N | + | | P | = | | - | 5391 50 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | F | + | | 2 | G | + | | H | | -1 | I | + | | L | | -1 | M | + | | N | = | | | 5191 50 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| -1 | F | | -2 | G | | -1 | H | + | | J | | -1 | K | | -1 | O | + | | P | = | | - | 5541 50 | | (15) |
| | F | + | | 10 | G | | -1 | H | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 31584 25 | | (16) |
|
Add both sides of equation (6) to both sides of equation (10) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | F | + | | 2 | G | + | | H | | -1 | I | + | | L | | -1 | M | + | | N | = | | | 5191 50 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| -1 | F | | -2 | G | | -1 | H | + | | J | | -1 | K | | -1 | O | + | | P | = | | - | 5541 50 | | (15) |
| | F | + | | 10 | G | | -1 | H | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 31584 25 | | (16) |
|
Divide the two sides of equation (6) by 2, the equation can be obtained: | | F | + | | | 1 2 | G | + | | | 1 2 | H | | - | 1 2 | I | + | | | 1 2 | K | | - | 1 2 | M | + | | | 1 2 | P | = | | | 6041 100 | (23) | , then subtract both sides of equation (23) from both sides of equation (13), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | | 3 2 | G | + | | | 1 2 | H | | - | 1 2 | I | | - | 1 2 | K | + | | L | | - | 1 2 | M | + | | N | | - | 1 2 | P | = | | | 4341 100 | | (13) |
| -1 | F | + | | H | | -1 | J | + | | K | + | | M | | -1 | N | = | | 13 | | (14) |
| -1 | F | | -2 | G | | -1 | H | + | | J | | -1 | K | | -1 | O | + | | P | = | | - | 5541 50 | | (15) |
| | F | + | | 10 | G | | -1 | H | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 31584 25 | | (16) |
|
Divide the two sides of equation (6) by 2, the equation can be obtained: | | F | + | | | 1 2 | G | + | | | 1 2 | H | | - | 1 2 | I | + | | | 1 2 | K | | - | 1 2 | M | + | | | 1 2 | P | = | | | 6041 100 | (24) | , then add the two sides of equation (24) to both sides of equation (14), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | | 3 2 | G | + | | | 1 2 | H | | - | 1 2 | I | | - | 1 2 | K | + | | L | | - | 1 2 | M | + | | N | | - | 1 2 | P | = | | | 4341 100 | | (13) |
| | | 1 2 | G | + | | | 3 2 | H | | - | 1 2 | I | | -1 | J | + | | | 3 2 | K | + | | | 1 2 | M | | -1 | N | + | | | 1 2 | P | = | | | 7341 100 | | (14) |
| -1 | F | | -2 | G | | -1 | H | + | | J | | -1 | K | | -1 | O | + | | P | = | | - | 5541 50 | | (15) |
| | F | + | | 10 | G | | -1 | H | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 31584 25 | | (16) |
|
Divide the two sides of equation (6) by 2, the equation can be obtained: | | F | + | | | 1 2 | G | + | | | 1 2 | H | | - | 1 2 | I | + | | | 1 2 | K | | - | 1 2 | M | + | | | 1 2 | P | = | | | 6041 100 | (25) | , then add the two sides of equation (25) to both sides of equation (15), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | | 3 2 | G | + | | | 1 2 | H | | - | 1 2 | I | | - | 1 2 | K | + | | L | | - | 1 2 | M | + | | N | | - | 1 2 | P | = | | | 4341 100 | | (13) |
| | | 1 2 | G | + | | | 3 2 | H | | - | 1 2 | I | | -1 | J | + | | | 3 2 | K | + | | | 1 2 | M | | -1 | N | + | | | 1 2 | P | = | | | 7341 100 | | (14) |
| - | 3 2 | G | | - | 1 2 | H | | - | 1 2 | I | + | | J | | - | 1 2 | K | | - | 1 2 | M | | -1 | O | + | | | 3 2 | P | = | | - | 5041 100 | | (15) |
| | F | + | | 10 | G | | -1 | H | + | | 2 | I | + | | J | + | | 11 | K | + | | M | + | | N | + | | 12 | O | = | | | 31584 25 | | (16) |
|
Divide the two sides of equation (6) by 2, the equation can be obtained: | | F | + | | | 1 2 | G | + | | | 1 2 | H | | - | 1 2 | I | + | | | 1 2 | K | | - | 1 2 | M | + | | | 1 2 | P | = | | | 6041 100 | (26) | , then subtract both sides of equation (26) from both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (7) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | | 3 2 | G | + | | | 1 2 | H | | - | 1 2 | I | | - | 1 2 | K | + | | L | | - | 1 2 | M | + | | N | | - | 1 2 | P | = | | | 4341 100 | | (13) |
| | | 1 2 | G | + | | | 3 2 | H | | - | 1 2 | I | | -1 | J | + | | | 3 2 | K | + | | | 1 2 | M | | -1 | N | + | | | 1 2 | P | = | | | 7341 100 | | (14) |
| - | 3 2 | G | | - | 1 2 | H | | - | 1 2 | I | + | | J | | - | 1 2 | K | | - | 1 2 | M | | -1 | O | + | | | 3 2 | P | = | | - | 5041 100 | | (15) |
| | | 19 2 | G | | - | 3 2 | H | + | | | 5 2 | I | + | | J | + | | | 21 2 | K | + | | | 3 2 | M | + | | N | + | | 12 | O | | - | 1 2 | P | = | | | 24059 20 | | (16) |
|
交After the exchange of equation (7) and equation (8), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| -1 | G | + | | H | + | | I | | -1 | K | + | | N | | -1 | O | = | | -19 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | | 3 2 | G | + | | | 1 2 | H | | - | 1 2 | I | | - | 1 2 | K | + | | L | | - | 1 2 | M | + | | N | | - | 1 2 | P | = | | | 4341 100 | | (13) |
| | | 1 2 | G | + | | | 3 2 | H | | - | 1 2 | I | | -1 | J | + | | | 3 2 | K | + | | | 1 2 | M | | -1 | N | + | | | 1 2 | P | = | | | 7341 100 | | (14) |
| - | 3 2 | G | | - | 1 2 | H | | - | 1 2 | I | + | | J | | - | 1 2 | K | | - | 1 2 | M | | -1 | O | + | | | 3 2 | P | = | | - | 5041 100 | | (15) |
| | | 19 2 | G | | - | 3 2 | H | + | | | 5 2 | I | + | | J | + | | | 21 2 | K | + | | | 3 2 | M | + | | N | + | | 12 | O | | - | 1 2 | P | = | | | 24059 20 | | (16) |
|
Divide the two sides of equation (7) by 10, the equation can be obtained: | | G | + | | | 1 10 | I | + | | | 1 10 | J | + | | | 11 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 1 10 | N | + | | | 11 10 | O | + | | | 1 10 | P | = | | | 31709 250 | (27) | , then add the two sides of equation (27) to both sides of equation (11), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (11) |
| | 11 | G | | -1 | H | + | | I | + | | 2 | J | + | | 11 | K | + | | 2 | M | + | | N | + | | 11 | O | = | | | 31859 25 | | (12) |
| | | 3 2 | G | + | | | 1 2 | H | | - | 1 2 | I | | - | 1 2 | K | + | | L | | - | 1 2 | M | + | | N | | - | 1 2 | P | = | | | 4341 100 | | (13) |
| | | 1 2 | G | + | | | 3 2 | H | | - | 1 2 | I | | -1 | J | + | | | 3 2 | K | + | | | 1 2 | M | | -1 | N | + | | | 1 2 | P | = | | | 7341 100 | | (14) |
| - | 3 2 | G | | - | 1 2 | H | | - | 1 2 | I | + | | J | | - | 1 2 | K | | - | 1 2 | M | | -1 | O | + | | | 3 2 | P | = | | - | 5041 100 | | (15) |
| | | 19 2 | G | | - | 3 2 | H | + | | | 5 2 | I | + | | J | + | | | 21 2 | K | + | | | 3 2 | M | + | | N | + | | 12 | O | | - | 1 2 | P | = | | | 24059 20 | | (16) |
|
Multiply both sides of equation (7) by 11 Divide the two sides of equation (7) by 10, the equation can be obtained: | | 11 | G | + | | | 11 10 | I | + | | | 11 10 | J | + | | | 121 10 | K | + | | | 11 10 | L | + | | | 11 10 | M | + | | | 11 10 | N | + | | | 121 10 | O | + | | | 11 10 | P | = | | | 348799 250 | (28) | , then subtract both sides of equation (28) from both sides of equation (12), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (11) |
| -1 | H | | - | 1 10 | I | + | | | 9 10 | J | | - | 11 10 | K | | - | 11 10 | L | + | | | 9 10 | M | | - | 1 10 | N | | - | 11 10 | O | | - | 11 10 | P | = | | - | 30209 250 | | (12) |
| | | 3 2 | G | + | | | 1 2 | H | | - | 1 2 | I | | - | 1 2 | K | + | | L | | - | 1 2 | M | + | | N | | - | 1 2 | P | = | | | 4341 100 | | (13) |
| | | 1 2 | G | + | | | 3 2 | H | | - | 1 2 | I | | -1 | J | + | | | 3 2 | K | + | | | 1 2 | M | | -1 | N | + | | | 1 2 | P | = | | | 7341 100 | | (14) |
| - | 3 2 | G | | - | 1 2 | H | | - | 1 2 | I | + | | J | | - | 1 2 | K | | - | 1 2 | M | | -1 | O | + | | | 3 2 | P | = | | - | 5041 100 | | (15) |
| | | 19 2 | G | | - | 3 2 | H | + | | | 5 2 | I | + | | J | + | | | 21 2 | K | + | | | 3 2 | M | + | | N | + | | 12 | O | | - | 1 2 | P | = | | | 24059 20 | | (16) |
|
Multiply both sides of equation (7) by 3 Divide the two sides of equation (7) by 20, the equation can be obtained: | | | 3 2 | G | + | | | 3 20 | I | + | | | 3 20 | J | + | | | 33 20 | K | + | | | 3 20 | L | + | | | 3 20 | M | + | | | 3 20 | N | + | | | 33 20 | O | + | | | 3 20 | P | = | | | 95127 500 | (29) | , then subtract both sides of equation (29) from both sides of equation (13), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (11) |
| -1 | H | | - | 1 10 | I | + | | | 9 10 | J | | - | 11 10 | K | | - | 11 10 | L | + | | | 9 10 | M | | - | 1 10 | N | | - | 11 10 | O | | - | 11 10 | P | = | | - | 30209 250 | | (12) |
| | | 1 2 | H | | - | 13 20 | I | | - | 3 20 | J | | - | 43 20 | K | + | | | 17 20 | L | | - | 13 20 | M | + | | | 17 20 | N | | - | 33 20 | O | | - | 13 20 | P | = | | - | 36711 250 | | (13) |
| | | 1 2 | G | + | | | 3 2 | H | | - | 1 2 | I | | -1 | J | + | | | 3 2 | K | + | | | 1 2 | M | | -1 | N | + | | | 1 2 | P | = | | | 7341 100 | | (14) |
| - | 3 2 | G | | - | 1 2 | H | | - | 1 2 | I | + | | J | | - | 1 2 | K | | - | 1 2 | M | | -1 | O | + | | | 3 2 | P | = | | - | 5041 100 | | (15) |
| | | 19 2 | G | | - | 3 2 | H | + | | | 5 2 | I | + | | J | + | | | 21 2 | K | + | | | 3 2 | M | + | | N | + | | 12 | O | | - | 1 2 | P | = | | | 24059 20 | | (16) |
|
Divide the two sides of equation (7) by 20, the equation can be obtained: | | | 1 2 | G | + | | | 1 20 | I | + | | | 1 20 | J | + | | | 11 20 | K | + | | | 1 20 | L | + | | | 1 20 | M | + | | | 1 20 | N | + | | | 11 20 | O | + | | | 1 20 | P | = | | | 31709 500 | (30) | , then subtract both sides of equation (30) from both sides of equation (14), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (11) |
| -1 | H | | - | 1 10 | I | + | | | 9 10 | J | | - | 11 10 | K | | - | 11 10 | L | + | | | 9 10 | M | | - | 1 10 | N | | - | 11 10 | O | | - | 11 10 | P | = | | - | 30209 250 | | (12) |
| | | 1 2 | H | | - | 13 20 | I | | - | 3 20 | J | | - | 43 20 | K | + | | | 17 20 | L | | - | 13 20 | M | + | | | 17 20 | N | | - | 33 20 | O | | - | 13 20 | P | = | | - | 36711 250 | | (13) |
| | | 3 2 | H | | - | 11 20 | I | | - | 21 20 | J | + | | | 19 20 | K | | - | 1 20 | L | + | | | 9 20 | M | | - | 21 20 | N | | - | 11 20 | O | + | | | 9 20 | P | = | | | 1249 125 | | (14) |
| - | 3 2 | G | | - | 1 2 | H | | - | 1 2 | I | + | | J | | - | 1 2 | K | | - | 1 2 | M | | -1 | O | + | | | 3 2 | P | = | | - | 5041 100 | | (15) |
| | | 19 2 | G | | - | 3 2 | H | + | | | 5 2 | I | + | | J | + | | | 21 2 | K | + | | | 3 2 | M | + | | N | + | | 12 | O | | - | 1 2 | P | = | | | 24059 20 | | (16) |
|
Multiply both sides of equation (7) by 3 Divide the two sides of equation (7) by 20, the equation can be obtained: | | | 3 2 | G | + | | | 3 20 | I | + | | | 3 20 | J | + | | | 33 20 | K | + | | | 3 20 | L | + | | | 3 20 | M | + | | | 3 20 | N | + | | | 33 20 | O | + | | | 3 20 | P | = | | | 95127 500 | (31) | , then add the two sides of equation (31) to both sides of equation (15), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (11) |
| -1 | H | | - | 1 10 | I | + | | | 9 10 | J | | - | 11 10 | K | | - | 11 10 | L | + | | | 9 10 | M | | - | 1 10 | N | | - | 11 10 | O | | - | 11 10 | P | = | | - | 30209 250 | | (12) |
| | | 1 2 | H | | - | 13 20 | I | | - | 3 20 | J | | - | 43 20 | K | + | | | 17 20 | L | | - | 13 20 | M | + | | | 17 20 | N | | - | 33 20 | O | | - | 13 20 | P | = | | - | 36711 250 | | (13) |
| | | 3 2 | H | | - | 11 20 | I | | - | 21 20 | J | + | | | 19 20 | K | | - | 1 20 | L | + | | | 9 20 | M | | - | 21 20 | N | | - | 11 20 | O | + | | | 9 20 | P | = | | | 1249 125 | | (14) |
| - | 1 2 | H | | - | 7 20 | I | + | | | 23 20 | J | + | | | 23 20 | K | + | | | 3 20 | L | | - | 7 20 | M | + | | | 3 20 | N | + | | | 13 20 | O | + | | | 33 20 | P | = | | | 34961 250 | | (15) |
| | | 19 2 | G | | - | 3 2 | H | + | | | 5 2 | I | + | | J | + | | | 21 2 | K | + | | | 3 2 | M | + | | N | + | | 12 | O | | - | 1 2 | P | = | | | 24059 20 | | (16) |
|
Multiply both sides of equation (7) by 19 Divide the two sides of equation (7) by 20, the equation can be obtained: | | | 19 2 | G | + | | | 19 20 | I | + | | | 19 20 | J | + | | | 209 20 | K | + | | | 19 20 | L | + | | | 19 20 | M | + | | | 19 20 | N | + | | | 209 20 | O | + | | | 19 20 | P | = | | | 602471 500 | (32) | , then subtract both sides of equation (32) from both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (11) |
| -1 | H | | - | 1 10 | I | + | | | 9 10 | J | | - | 11 10 | K | | - | 11 10 | L | + | | | 9 10 | M | | - | 1 10 | N | | - | 11 10 | O | | - | 11 10 | P | = | | - | 30209 250 | | (12) |
| | | 1 2 | H | | - | 13 20 | I | | - | 3 20 | J | | - | 43 20 | K | + | | | 17 20 | L | | - | 13 20 | M | + | | | 17 20 | N | | - | 33 20 | O | | - | 13 20 | P | = | | - | 36711 250 | | (13) |
| | | 3 2 | H | | - | 11 20 | I | | - | 21 20 | J | + | | | 19 20 | K | | - | 1 20 | L | + | | | 9 20 | M | | - | 21 20 | N | | - | 11 20 | O | + | | | 9 20 | P | = | | | 1249 125 | | (14) |
| - | 1 2 | H | | - | 7 20 | I | + | | | 23 20 | J | + | | | 23 20 | K | + | | | 3 20 | L | | - | 7 20 | M | + | | | 3 20 | N | + | | | 13 20 | O | + | | | 33 20 | P | = | | | 34961 250 | | (15) |
| - | 3 2 | H | + | | | 31 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | | - | 19 20 | L | + | | | 11 20 | M | + | | | 1 20 | N | + | | | 31 20 | O | | - | 29 20 | P | = | | - | 249 125 | | (16) |
|
交After the exchange of equation (8) and equation (11), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -1 | H | | - | 1 10 | I | + | | | 9 10 | J | | - | 11 10 | K | | - | 11 10 | L | + | | | 9 10 | M | | - | 1 10 | N | | - | 11 10 | O | | - | 11 10 | P | = | | - | 30209 250 | | (12) |
| | | 1 2 | H | | - | 13 20 | I | | - | 3 20 | J | | - | 43 20 | K | + | | | 17 20 | L | | - | 13 20 | M | + | | | 17 20 | N | | - | 33 20 | O | | - | 13 20 | P | = | | - | 36711 250 | | (13) |
| | | 3 2 | H | | - | 11 20 | I | | - | 21 20 | J | + | | | 19 20 | K | | - | 1 20 | L | + | | | 9 20 | M | | - | 21 20 | N | | - | 11 20 | O | + | | | 9 20 | P | = | | | 1249 125 | | (14) |
| - | 1 2 | H | | - | 7 20 | I | + | | | 23 20 | J | + | | | 23 20 | K | + | | | 3 20 | L | | - | 7 20 | M | + | | | 3 20 | N | + | | | 13 20 | O | + | | | 33 20 | P | = | | | 34961 250 | | (15) |
| - | 3 2 | H | + | | | 31 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | | - | 19 20 | L | + | | | 11 20 | M | + | | | 1 20 | N | + | | | 31 20 | O | | - | 29 20 | P | = | | - | 249 125 | | (16) |
|
Add both sides of equation (8) to both sides of equation (12) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| | I | + | | J | | -1 | K | | -1 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | -13 | | (12) |
| | | 1 2 | H | | - | 13 20 | I | | - | 3 20 | J | | - | 43 20 | K | + | | | 17 20 | L | | - | 13 20 | M | + | | | 17 20 | N | | - | 33 20 | O | | - | 13 20 | P | = | | - | 36711 250 | | (13) |
| | | 3 2 | H | | - | 11 20 | I | | - | 21 20 | J | + | | | 19 20 | K | | - | 1 20 | L | + | | | 9 20 | M | | - | 21 20 | N | | - | 11 20 | O | + | | | 9 20 | P | = | | | 1249 125 | | (14) |
| - | 1 2 | H | | - | 7 20 | I | + | | | 23 20 | J | + | | | 23 20 | K | + | | | 3 20 | L | | - | 7 20 | M | + | | | 3 20 | N | + | | | 13 20 | O | + | | | 33 20 | P | = | | | 34961 250 | | (15) |
| - | 3 2 | H | + | | | 31 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | | - | 19 20 | L | + | | | 11 20 | M | + | | | 1 20 | N | + | | | 31 20 | O | | - | 29 20 | P | = | | - | 249 125 | | (16) |
|
Divide the two sides of equation (8) by 2, the equation can be obtained: | | | 1 2 | H | + | | | 11 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | + | | | 1 20 | L | + | | | 1 20 | M | + | | | 11 20 | N | + | | | 1 20 | O | + | | | 1 20 | P | = | | | 26959 500 | (33) | , then subtract both sides of equation (33) from both sides of equation (13), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| | I | + | | J | | -1 | K | | -1 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | -13 | | (12) |
| - | 6 5 | I | | - | 1 5 | J | | - | 11 5 | K | + | | | 4 5 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 100381 500 | | (13) |
| | | 3 2 | H | | - | 11 20 | I | | - | 21 20 | J | + | | | 19 20 | K | | - | 1 20 | L | + | | | 9 20 | M | | - | 21 20 | N | | - | 11 20 | O | + | | | 9 20 | P | = | | | 1249 125 | | (14) |
| - | 1 2 | H | | - | 7 20 | I | + | | | 23 20 | J | + | | | 23 20 | K | + | | | 3 20 | L | | - | 7 20 | M | + | | | 3 20 | N | + | | | 13 20 | O | + | | | 33 20 | P | = | | | 34961 250 | | (15) |
| - | 3 2 | H | + | | | 31 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | | - | 19 20 | L | + | | | 11 20 | M | + | | | 1 20 | N | + | | | 31 20 | O | | - | 29 20 | P | = | | - | 249 125 | | (16) |
|
Multiply both sides of equation (8) by 3 Divide the two sides of equation (8) by 2, the equation can be obtained: | | | 3 2 | H | + | | | 33 20 | I | + | | | 3 20 | J | + | | | 3 20 | K | + | | | 3 20 | L | + | | | 3 20 | M | + | | | 33 20 | N | + | | | 3 20 | O | + | | | 3 20 | P | = | | | 80877 500 | (34) | , then subtract both sides of equation (34) from both sides of equation (14), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| | I | + | | J | | -1 | K | | -1 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | -13 | | (12) |
| - | 6 5 | I | | - | 1 5 | J | | - | 11 5 | K | + | | | 4 5 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 100381 500 | | (13) |
| - | 11 5 | I | | - | 6 5 | J | + | | | 4 5 | K | | - | 1 5 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | - | 75881 500 | | (14) |
| - | 1 2 | H | | - | 7 20 | I | + | | | 23 20 | J | + | | | 23 20 | K | + | | | 3 20 | L | | - | 7 20 | M | + | | | 3 20 | N | + | | | 13 20 | O | + | | | 33 20 | P | = | | | 34961 250 | | (15) |
| - | 3 2 | H | + | | | 31 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | | - | 19 20 | L | + | | | 11 20 | M | + | | | 1 20 | N | + | | | 31 20 | O | | - | 29 20 | P | = | | - | 249 125 | | (16) |
|
Divide the two sides of equation (8) by 2, the equation can be obtained: | | | 1 2 | H | + | | | 11 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | + | | | 1 20 | L | + | | | 1 20 | M | + | | | 11 20 | N | + | | | 1 20 | O | + | | | 1 20 | P | = | | | 26959 500 | (35) | , then add the two sides of equation (35) to both sides of equation (15), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| | I | + | | J | | -1 | K | | -1 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | -13 | | (12) |
| - | 6 5 | I | | - | 1 5 | J | | - | 11 5 | K | + | | | 4 5 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 100381 500 | | (13) |
| - | 11 5 | I | | - | 6 5 | J | + | | | 4 5 | K | | - | 1 5 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | - | 75881 500 | | (14) |
| | | 1 5 | I | + | | | 6 5 | J | + | | | 6 5 | K | + | | | 1 5 | L | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 96881 500 | | (15) |
| - | 3 2 | H | + | | | 31 20 | I | + | | | 1 20 | J | + | | | 1 20 | K | | - | 19 20 | L | + | | | 11 20 | M | + | | | 1 20 | N | + | | | 31 20 | O | | - | 29 20 | P | = | | - | 249 125 | | (16) |
|
Multiply both sides of equation (8) by 3 Divide the two sides of equation (8) by 2, the equation can be obtained: | | | 3 2 | H | + | | | 33 20 | I | + | | | 3 20 | J | + | | | 3 20 | K | + | | | 3 20 | L | + | | | 3 20 | M | + | | | 33 20 | N | + | | | 3 20 | O | + | | | 3 20 | P | = | | | 80877 500 | (36) | , then add the two sides of equation (36) to both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| -1 | I | | -1 | J | + | | K | + | | L | | -1 | M | | -1 | N | + | | 2 | P | = | | 13 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| | I | + | | J | | -1 | K | | -1 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | -13 | | (12) |
| - | 6 5 | I | | - | 1 5 | J | | - | 11 5 | K | + | | | 4 5 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 100381 500 | | (13) |
| - | 11 5 | I | | - | 6 5 | J | + | | | 4 5 | K | | - | 1 5 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | - | 75881 500 | | (14) |
| | | 1 5 | I | + | | | 6 5 | J | + | | | 6 5 | K | + | | | 1 5 | L | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 96881 500 | | (15) |
| | | 16 5 | I | + | | | 1 5 | J | + | | | 1 5 | K | | - | 4 5 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | | 79881 500 | | (16) |
|
Add both sides of equation (9) to both sides of equation (10) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| | I | + | | J | | -1 | K | | -1 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | -13 | | (12) |
| - | 6 5 | I | | - | 1 5 | J | | - | 11 5 | K | + | | | 4 5 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 100381 500 | | (13) |
| - | 11 5 | I | | - | 6 5 | J | + | | | 4 5 | K | | - | 1 5 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | - | 75881 500 | | (14) |
| | | 1 5 | I | + | | | 6 5 | J | + | | | 6 5 | K | + | | | 1 5 | L | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 96881 500 | | (15) |
| | | 16 5 | I | + | | | 1 5 | J | + | | | 1 5 | K | | - | 4 5 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | | 79881 500 | | (16) |
|
Subtract both sides of equation (9) from both sides of equation (12) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| - | 6 5 | I | | - | 1 5 | J | | - | 11 5 | K | + | | | 4 5 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 100381 500 | | (13) |
| - | 11 5 | I | | - | 6 5 | J | + | | | 4 5 | K | | - | 1 5 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | - | 75881 500 | | (14) |
| | | 1 5 | I | + | | | 6 5 | J | + | | | 6 5 | K | + | | | 1 5 | L | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 96881 500 | | (15) |
| | | 16 5 | I | + | | | 1 5 | J | + | | | 1 5 | K | | - | 4 5 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | | 79881 500 | | (16) |
|
Multiply both sides of equation (9) by 6 Divide the two sides of equation (9) by 5, the equation can be obtained: | | | 6 5 | I | + | | | 6 5 | J | + | | | 6 5 | K | + | | | 6 5 | L | = | | | 15858 125 | (37) | , then add the two sides of equation (37) to both sides of equation (13), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (13) |
| - | 11 5 | I | | - | 6 5 | J | + | | | 4 5 | K | | - | 1 5 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | - | 75881 500 | | (14) |
| | | 1 5 | I | + | | | 6 5 | J | + | | | 6 5 | K | + | | | 1 5 | L | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 96881 500 | | (15) |
| | | 16 5 | I | + | | | 1 5 | J | + | | | 1 5 | K | | - | 4 5 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | | 79881 500 | | (16) |
|
Multiply both sides of equation (9) by 11 Divide the two sides of equation (9) by 5, the equation can be obtained: | | | 11 5 | I | + | | | 11 5 | J | + | | | 11 5 | K | + | | | 11 5 | L | = | | | 29073 125 | (38) | , then add the two sides of equation (38) to both sides of equation (14), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (13) |
| | J | + | | 3 | K | + | | 2 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | | 40411 500 | | (14) |
| | | 1 5 | I | + | | | 6 5 | J | + | | | 6 5 | K | + | | | 1 5 | L | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 96881 500 | | (15) |
| | | 16 5 | I | + | | | 1 5 | J | + | | | 1 5 | K | | - | 4 5 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | | 79881 500 | | (16) |
|
Divide the two sides of equation (9) by 5, the equation can be obtained: | | | 1 5 | I | + | | | 1 5 | J | + | | | 1 5 | K | + | | | 1 5 | L | = | | | 2643 125 | (39) | , then subtract both sides of equation (39) from both sides of equation (15), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (13) |
| | J | + | | 3 | K | + | | 2 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | | 40411 500 | | (14) |
| | J | + | | K | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 86309 500 | | (15) |
| | | 16 5 | I | + | | | 1 5 | J | + | | | 1 5 | K | | - | 4 5 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | | 79881 500 | | (16) |
|
Multiply both sides of equation (9) by 16 Divide the two sides of equation (9) by 5, the equation can be obtained: | | | 16 5 | I | + | | | 16 5 | J | + | | | 16 5 | K | + | | | 16 5 | L | = | | | 42288 125 | (40) | , then subtract both sides of equation (40) from both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (13) |
| | J | + | | 3 | K | + | | 2 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | | 40411 500 | | (14) |
| | J | + | | K | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 86309 500 | | (15) |
| -3 | J | | -3 | K | | -4 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | - | 89271 500 | | (16) |
|
交After the exchange of equation (10) and equation (13), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (13) |
| | J | + | | 3 | K | + | | 2 | L | + | | | 3 10 | M | | - | 27 10 | N | | - | 7 10 | O | + | | | 3 10 | P | = | | | 40411 500 | | (14) |
| | J | + | | K | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 86309 500 | | (15) |
| -3 | J | | -3 | K | | -4 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | - | 89271 500 | | (16) |
|
Subtract both sides of equation (10) from both sides of equation (14) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (13) |
| | 4 | K | + | | M | | -3 | N | + | | O | + | | P | = | | | 3868 25 | | (14) |
| | J | + | | K | | - | 3 10 | M | + | | | 7 10 | N | + | | | 7 10 | O | + | | | 17 10 | P | = | | | 86309 500 | | (15) |
| -3 | J | | -3 | K | | -4 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | - | 89271 500 | | (16) |
|
Subtract both sides of equation (10) from both sides of equation (15) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (13) |
| | 4 | K | + | | M | | -3 | N | + | | O | + | | P | = | | | 3868 25 | | (14) |
| | 2 | K | | -2 | L | + | | | 2 5 | M | + | | | 2 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 61629 250 | | (15) |
| -3 | J | | -3 | K | | -4 | L | + | | | 7 10 | M | + | | | 17 10 | N | + | | | 17 10 | O | | - | 13 10 | P | = | | - | 89271 500 | | (16) |
|
Multiply both sides of equation (10) by 3, the equation can be obtained: | | 3 | J | | -3 | K | + | | 6 | L | | - | 21 10 | M | + | | | 9 10 | N | | - | 51 10 | O | | - | 21 10 | P | = | | - | 110847 500 | (41) | , then add the two sides of equation (41) to both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (11) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (12) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (13) |
| | 4 | K | + | | M | | -3 | N | + | | O | + | | P | = | | | 3868 25 | | (14) |
| | 2 | K | | -2 | L | + | | | 2 5 | M | + | | | 2 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 61629 250 | | (15) |
| -6 | K | + | | 2 | L | | - | 7 5 | M | + | | | 13 5 | N | | - | 17 5 | O | | - | 17 5 | P | = | | - | 100059 250 | | (16) |
|
交After the exchange of equation (11) and equation (12), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (12) |
| | 2 | K | + | | 2 | L | | -1 | M | | -1 | N | + | | 2 | P | = | | | 2968 25 | | (13) |
| | 4 | K | + | | M | | -3 | N | + | | O | + | | P | = | | | 3868 25 | | (14) |
| | 2 | K | | -2 | L | + | | | 2 5 | M | + | | | 2 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 61629 250 | | (15) |
| -6 | K | + | | 2 | L | | - | 7 5 | M | + | | | 13 5 | N | | - | 17 5 | O | | - | 17 5 | P | = | | - | 100059 250 | | (16) |
|
Add both sides of equation (11) to both sides of equation (13) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (12) |
| | | 4 | K | + | | M | | -3 | N | + | | O | + | | P | = | | | 3868 25 | | (14) |
| | 2 | K | | -2 | L | + | | | 2 5 | M | + | | | 2 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 61629 250 | | (15) |
| -6 | K | + | | 2 | L | | - | 7 5 | M | + | | | 13 5 | N | | - | 17 5 | O | | - | 17 5 | P | = | | - | 100059 250 | | (16) |
|
Multiply both sides of equation (11) by 2, the equation can be obtained: | -4 | K | | -4 | L | + | | 2 | M | + | | 2 | N | | -2 | O | | -2 | P | = | | - | 5936 25 | (42) | , then add the two sides of equation (42) to both sides of equation (14), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (12) |
| | -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (14) |
| | 2 | K | | -2 | L | + | | | 2 5 | M | + | | | 2 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 61629 250 | | (15) |
| -6 | K | + | | 2 | L | | - | 7 5 | M | + | | | 13 5 | N | | - | 17 5 | O | | - | 17 5 | P | = | | - | 100059 250 | | (16) |
|
Add both sides of equation (11) to both sides of equation (15) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (12) |
| | -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (14) |
| -4 | L | + | | | 7 5 | M | + | | | 7 5 | N | + | | | 7 5 | O | + | | | 7 5 | P | = | | | 31949 250 | | (15) |
| -6 | K | + | | 2 | L | | - | 7 5 | M | + | | | 13 5 | N | | - | 17 5 | O | | - | 17 5 | P | = | | - | 100059 250 | | (16) |
|
Multiply both sides of equation (11) by 3, the equation can be obtained: | -6 | K | | -6 | L | + | | 3 | M | + | | 3 | N | | -3 | O | | -3 | P | = | | - | 8904 25 | (43) | , then subtract both sides of equation (43) from both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (12) |
| | -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (14) |
| -4 | L | + | | | 7 5 | M | + | | | 7 5 | N | + | | | 7 5 | O | + | | | 7 5 | P | = | | | 31949 250 | | (15) |
| | 8 | L | | - | 22 5 | M | | - | 2 5 | N | | - | 2 5 | O | | - | 2 5 | P | = | | - | 11019 250 | | (16) |
|
交After the exchange of equation (12) and equation (14), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (14) |
| -4 | L | + | | | 7 5 | M | + | | | 7 5 | N | + | | | 7 5 | O | + | | | 7 5 | P | = | | | 31949 250 | | (15) |
| | 8 | L | | - | 22 5 | M | | - | 2 5 | N | | - | 2 5 | O | | - | 2 5 | P | = | | - | 11019 250 | | (16) |
|
Subtract both sides of equation (12) from both sides of equation (15) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (14) |
| - | 8 5 | M | + | | | 12 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 52629 250 | | (15) |
| | 8 | L | | - | 22 5 | M | | - | 2 5 | N | | - | 2 5 | O | | - | 2 5 | P | = | | - | 11019 250 | | (16) |
|
Multiply both sides of equation (12) by 2, the equation can be obtained: | -8 | L | + | | 6 | M | | -2 | N | | -2 | O | | -2 | P | = | | - | 4136 25 | (44) | , then add the two sides of equation (44) to both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (14) |
| - | 8 5 | M | + | | | 12 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 52629 250 | | (15) |
| | | 8 5 | M | | - | 12 5 | N | | - | 12 5 | O | | - | 12 5 | P | = | | - | 52379 250 | | (16) |
|
交After the exchange of equation (13) and equation (14), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (13) |
| | - | 8 5 | M | + | | | 12 5 | N | + | | | 12 5 | O | + | | | 12 5 | P | = | | | 52629 250 | | (15) |
| | | 8 5 | M | | - | 12 5 | N | | - | 12 5 | O | | - | 12 5 | P | = | | - | 52379 250 | | (16) |
|
Multiply both sides of equation (13) by 8 Divide the two sides of equation (13) by 5, the equation can be obtained: | | | 8 5 | M | + | | | 8 5 | N | + | | | 8 5 | O | + | | | 8 5 | P | = | | | 20944 125 | (45) | , then add the two sides of equation (45) to both sides of equation (15), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (13) |
| | | 4 | N | + | | 4 | O | + | | 4 | P | = | | | 94517 250 | | (15) |
| | | 8 5 | M | | - | 12 5 | N | | - | 12 5 | O | | - | 12 5 | P | = | | - | 52379 250 | | (16) |
|
Multiply both sides of equation (13) by 8 Divide the two sides of equation (13) by 5, the equation can be obtained: | | | 8 5 | M | + | | | 8 5 | N | + | | | 8 5 | O | + | | | 8 5 | P | = | | | 20944 125 | (46) | , then subtract both sides of equation (46) from both sides of equation (16), the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (13) |
| | | 4 | N | + | | 4 | O | + | | 4 | P | = | | | 94517 250 | | (15) |
| -4 | N | | -4 | O | | -4 | P | = | | - | 94267 250 | | (16) |
|
交After the exchange of equation (14) and equation (15), the equation system becomes:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (13) |
| | 4 | N | + | | 4 | O | + | | 4 | P | = | | | 94517 250 | | (14) |
| | -4 | N | | -4 | O | | -4 | P | = | | - | 94267 250 | | (16) |
|
Add both sides of equation (14) to both sides of equation (16) ,the equations are reduced to:
| | | | A | + | | B | + | | 11 | C | + | | D | = | | | 5481 50 | | (1) |
| -1 | B | | -11 | C | | -1 | D | + | | E | + | | I | + | | M | = | | | 127 25 | | (2) |
| -11 | C | | -1 | D | + | | E | + | | F | + | | I | + | | J | + | | M | + | | N | = | | | 5339 50 | | (3) |
| - | 1 11 | D | + | | | 1 11 | E | + | | | 1 11 | F | + | | G | + | | | 1 11 | I | + | | | 1 11 | J | + | | K | + | | | 1 11 | M | + | | | 1 11 | N | + | | O | = | | | 31737 275 | | (4) |
| | E | + | | F | + | | G | + | | H | = | | | 5541 50 | | (5) |
| | 2 | F | + | | G | + | | H | | -1 | I | + | | K | | -1 | M | + | | P | = | | | 6041 50 | | (6) |
| | 10 | G | + | | I | + | | J | + | | 11 | K | + | | L | + | | M | + | | N | + | | 11 | O | + | | P | = | | | 31709 25 | | (7) |
| | H | + | | | 11 10 | I | + | | | 1 10 | J | + | | | 1 10 | K | + | | | 1 10 | L | + | | | 1 10 | M | + | | | 11 10 | N | + | | | 1 10 | O | + | | | 1 10 | P | = | | | 26959 250 | | (8) |
| | I | + | | J | + | | K | + | | L | = | | | 2643 25 | | (9) |
| | J | | -1 | K | + | | 2 | L | | - | 7 10 | M | + | | | 3 10 | N | | - | 17 10 | O | | - | 7 10 | P | = | | - | 36949 500 | | (10) |
| -2 | K | | -2 | L | + | | M | + | | N | | -1 | O | | -1 | P | = | | - | 2968 25 | | (11) |
| -4 | L | + | | 3 | M | | -1 | N | | -1 | O | | -1 | P | = | | - | 2068 25 | | (12) |
| | M | + | | N | + | | O | + | | P | = | | | 2618 25 | | (13) |
| | 4 | N | + | | 4 | O | + | | 4 | P | = | | | 94517 250 | | (14) |
| | |
由第(16)方程式可以看出,该方程组无解。
解方程组的详细方法请参阅:《多元一次方程组的解法》 |