detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 2, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (4), the equations are reduced to:
![](img/zku.png) | | | | | | | B | + | | 3 | C | | - | 1 2 | D | | - | 5 2 | E | = | | 2 | | (4) |
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Multiply both sides of equation (1) by 5 Divide the two sides of equation (1) by 2, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (5), the equations are reduced to:
![](img/zku.png) | | | | | | | B | + | | 3 | C | | - | 1 2 | D | | - | 5 2 | E | = | | 2 | | (4) |
| | 2 | B | + | | 3 | C | | - | 5 2 | D | | - | 25 2 | E | = | | 5 | | (5) |
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Divide the two sides of equation (2) by 2, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
![](img/zku.png) | | | | | | | | 2 | B | + | | 3 | C | | - | 5 2 | D | | - | 25 2 | E | = | | 5 | | (5) |
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Subtract both sides of equation (2) from both sides of equation (5) ,the equations are reduced to:
Multiply both sides of equation (3) by 3 Divide the two sides of equation (3) by 2, the equation can be obtained: , then subtract both sides of equation (9) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (3) by 3 Divide the two sides of equation (3) by 2, the equation can be obtained: , then subtract both sides of equation (10) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (4) by 16 Divide the two sides of equation (4) by 11, the equation can be obtained: , then subtract both sides of equation (11) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (5) by 55 Divide both sides of equation (5) by 96, get the equation:, then subtract both sides of equation (12) from both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 11 Divide both sides of equation (5) by 96, get the equation:, then add the two sides of equation (13) to both sides of equation (3), get the equation:
Multiply both sides of equation (5) by 11 Divide both sides of equation (5) by 48, get the equation:, then add the two sides of equation (14) to both sides of equation (2), get the equation:
Multiply both sides of equation (5) by 55 Divide both sides of equation (5) by 96, get the equation:, then add the two sides of equation (15) to both sides of equation (1), get the equation:
Multiply both sides of equation (4) by 6 Divide both sides of equation (4) by 11, get the equation:, then add the two sides of equation (16) to both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 2 Divide both sides of equation (4) by 11, get the equation:, then add the two sides of equation (17) to both sides of equation (2), get the equation:
Multiply both sides of equation (4) by 2 Divide both sides of equation (4) by 11, get the equation:, then add the two sides of equation (18) to 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》 |