detailed information: The input equation set is: Question solving process:
Add both sides of equation (1) to both sides of equation (2) ,the equations are reduced to:
Multiply both sides of equation (1) by 4, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (2) by 7, the equation can be obtained: | | 14 | B | + | | 21 | C | + | | 7 | D | + | | 7 | F | = | | 0 | (8) | , then add the two sides of equation (8) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (2) by 3, the equation can be obtained: | | 6 | B | + | | 9 | C | + | | 3 | D | + | | 3 | F | = | | 0 | (9) | , then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
| | | | | | | -17 | C | | -3 | D | | -4 | E | | -3 | F | = | | -15 | | (5) |
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Multiply both sides of equation (3) by 9, the equation can be obtained: , then add the two sides of equation (10) to both sides of equation (4), the equations are reduced to:
| | | | | | | -17 | C | | -3 | D | | -4 | E | | -3 | F | = | | -15 | | (5) |
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Multiply both sides of equation (3) by 17, the equation can be obtained: , then subtract both sides of equation (11) from both sides of equation (5), the equations are reduced to:
Divide the two sides of equation (4) by 3, the equation can be obtained: , then add the two sides of equation (12) to both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (4) by 2 Divide the two sides of equation (4) by 9, the equation can be obtained: , then add the two sides of equation (13) to both sides of equation (6), the equations are reduced to:
Divide the two sides of equation (5) by 3, the equation can be obtained: , then add the two sides of equation (14) to both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (6) by 20 Divide both sides of equation (6) by 21, get the equation:, then subtract both sides of equation (15) from both sides of equation (5), get the equation:
Divide both sides of equation (6) by 7, get the equation:, then add the two sides of equation (16) to both sides of equation (4), get the equation:
Divide both sides of equation (6) by 14, get the equation:, then add the two sides of equation (17) to both sides of equation (3), get the equation:
Divide both sides of equation (6) by 14, get the equation:, then subtract both sides of equation (18) from both sides of equation (2), get the equation:
Divide both sides of equation (5) by 2, get the equation:, then add the two sides of equation (19) to both sides of equation (4), get the equation:
Divide both sides of equation (5) by 18, get the equation:, then add the two sides of equation (20) to both sides of equation (3), get the equation:
Divide both sides of equation (4) by 9, get the equation:, then subtract both sides of equation (21) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 3, get the equation:, then add the two sides of equation (22) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 3, get the equation:, then add the two sides of equation (23) to both sides of equation (1), get the equation:
Subtract both sides of equation (2) from both sides of equation (1), 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》 |