detailed information: The input equation set is:
| | | | | | | | 4 | A | | -4 | B | + | | 10 | C | + | | 13 | D | = | | 0 | | (5) |
| 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 (3), the equations are reduced to:
| | | | | | | | 4 | A | | -4 | B | + | | 10 | C | + | | 13 | D | = | | 0 | | (5) |
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Multiply both sides of equation (1) by 3, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
| | | | | | | | 4 | A | | -4 | B | + | | 10 | C | + | | 13 | D | = | | 0 | | (5) |
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Multiply both sides of equation (1) by 4, the equation can be obtained: | | 4 | A | | -4 | B | + | | 12 | C | + | | 12 | D | = | | 12 | (8) | , then subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
Subtract both sides of equation (2) from both sides of equation (4) ,the equations are reduced to:
Subtract both sides of equation (3) from both sides of equation (4) ,the equations are reduced to:
Multiply both sides of equation (3) by 2, the equation can be obtained: , then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (4) by 13 Divide the two sides of equation (4) by 5, the equation can be obtained: , then add the two sides of equation (10) to 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》 |