detailed information: The input equation set is: Question solving process:
交After the exchange of equation (1) and equation (2), the equation system becomes:
Divide the two sides of equation (1) by 16, the equation can be obtained: | -1 | A | + | | | 1 16 | B | | - | 1 16 | F | = | | 0 | (7) | , then add the two sides of equation (7) to both sides of equation (6), the equations are reduced to:
Add both sides of equation (2) to both sides of equation (3) ,the equations are reduced to:
Add both sides of equation (2) to both sides of equation (4) ,the equations are reduced to:
Subtract both sides of equation (2) from both sides of equation (5) ,the equations are reduced to:
![](img/zku.png) | | | | | | | -1 | C | | -1 | D | | -5 | E | + | | F | = | | -40 | | (5) |
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Multiply both sides of equation (2) by 17 Divide the two sides of equation (2) by 16, the equation can be obtained: | | | 17 16 | B | + | | | 85 16 | E | | - | 17 16 | F | = | | | 85 2 | (8) | , then subtract both sides of equation (8) from both sides of equation (6), the equations are reduced to:
![](img/zku.png) | | | | | | | -1 | C | | -1 | D | | -5 | E | + | | F | = | | -40 | | (5) |
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Divide the two sides of equation (3) by 20, the equation can be obtained: , then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
![](img/zku.png) | | | | | | | -1 | D | | - | 21 4 | E | + | | | 11 10 | F | = | | -42 | | (5) |
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Divide the two sides of equation (4) by 80, the equation can be obtained: | -1 | D | + | | | 1 16 | E | | - | 1 40 | F | = | | | 25 2 | (10) | , then subtract both sides of equation (10) from both sides of equation (5), the equations are reduced to:
![](img/zku.png) | | | | | | | - | 85 16 | E | + | | | 9 8 | F | = | | - | 109 2 | | (5) |
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Subtract both sides of equation (5) from both sides of equation (6) ,the equations are reduced to:
![](img/zku.png) | | | | | | | - | 85 16 | E | + | | | 9 8 | F | = | | - | 109 2 | | (5) |
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Multiply both sides of equation (6) by 9, get the equation:, then add the two sides of equation (11) to both sides of equation (5), get the equation:
Multiply both sides of equation (6) by 16, get the equation:, then subtract both sides of equation (12) from both sides of equation (4), get the equation:
Multiply both sides of equation (6) by 16, get the equation:, then subtract both sides of equation (13) from both sides of equation (3), get the equation:
Multiply both sides of equation (6) by 8, get the equation:, then subtract both sides of equation (14) from both sides of equation (2), get the equation:
Multiply both sides of equation (6) by 8, get the equation:, then subtract both sides of equation (15) from both sides of equation (1), get the equation:
Multiply both sides of equation (5) by 16 Divide both sides of equation (5) by 17, get the equation:, then add the two sides of equation (16) to both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 16 Divide both sides of equation (5) by 17, get the equation:, then add the two sides of equation (17) to both sides of equation (3), get the equation:
Multiply both sides of equation (5) by 16 Divide both sides of equation (5) by 17, get the equation:, then add the two sides of equation (18) to both sides of equation (2), 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》 |