detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 2, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 2, 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 (1) by 2, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
Divide the two sides of equation (2) by 2, the equation can be obtained: | -1 | B | + | | 2 | D | + | | 4 | E | = | | - | 25 2 | (9) | , then add the two sides of equation (9) to both sides of equation (4), the equations are reduced to:
| | | | | | -1 | C | + | | 2 | D | + | | 4 | E | = | | - | 165 2 | | (4) |
| |
Multiply both sides of equation (2) by 2, the equation can be obtained: | -4 | B | + | | 8 | D | + | | 16 | E | = | | -50 | (10) | , then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
| | | | | | -1 | C | + | | 2 | D | + | | 4 | E | = | | - | 165 2 | | (4) |
| |
Add both sides of equation (3) to both sides of equation (4) ,the equations are reduced to:
Subtract both sides of equation (4) from both sides of equation (5) ,the equations are reduced to:
由第(5)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》 |