detailed information: The input equation set is:
| | | | | | -2 | A | | - | 5 2 | B | | - | 1 2 | C | + | | 6 | D | = | | 0 | | (4) |
| Question solving process:
Divide the two sides of equation (1) by 2, the equation can be obtained: , then add the two sides of equation (5) to both sides of equation (4), the equations are reduced to:
| | | | | | - | 5 2 | B | | - | 1 2 | C | + | | 5 | D | = | | | 1 2 | | (4) |
|
Multiply both sides of equation (2) by 5 Divide the two sides of equation (2) by 18, the equation can be obtained: | | | 5 2 | B | | - | 35 18 | C | | - | 5 9 | D | = | | - | 20 9 | (6) | , then add the two sides of equation (6) to both sides of equation (4), the equations are reduced to:
| | | | | | - | 22 9 | C | + | | | 40 9 | D | = | | - | 31 18 | | (4) |
|
Multiply both sides of equation (3) by 22 Divide the two sides of equation (3) by 9, the equation can be obtained: , then add the two sides of equation (7) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (4) by 27 Divide both sides of equation (4) by 26, get the equation:, then subtract both sides of equation (8) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 9 Divide both sides of equation (4) by 13, get the equation:, then subtract both sides of equation (9) from both sides of equation (2), get the equation:
Multiply both sides of equation (4) by 9 Divide both sides of equation (4) by 13, get the equation:, then subtract both sides of equation (10) from both sides of equation (1), get the equation:
Multiply both sides of equation (3) by 7, get the equation:, then add the two sides of equation (11) to both sides of equation (2), get the equation:
The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
Therefore, the solution of the equation set is:
Convert the solution of the equation set to decimals:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |