detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 30, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
| | | | | | -30 | B | + | | 20 | C | + | | 50 | E | = | | -2960 | | (4) |
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交After the exchange of equation (2) and equation (4), the equation system becomes:
| | | | -30 | B | + | | 20 | C | + | | 50 | E | = | | -2960 | | (2) |
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Add both sides of equation (2) to both sides of equation (5) ,the equations are reduced to:
| | | | -30 | B | + | | 20 | C | + | | 50 | E | = | | -2960 | | (2) |
| | | | 20 | C | + | | 20 | D | + | | 50 | E | + | | 50 | F | = | | -2900 | | (5) |
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交After the exchange of equation (3) and equation (4), the equation system becomes:
| | | | -30 | B | + | | 20 | C | + | | 50 | E | = | | -2960 | | (2) |
| | | | 20 | C | + | | 20 | D | + | | 50 | E | + | | 50 | F | = | | -2900 | | (5) |
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Multiply both sides of equation (3) by 20, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
| | | | -30 | B | + | | 20 | C | + | | 50 | E | = | | -2960 | | (2) |
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Multiply both sides of equation (4) by 50, the equation can be obtained: , then subtract both sides of equation (9) from both sides of equation (5), the equations are reduced to:
| | | | -30 | B | + | | 20 | C | + | | 50 | E | = | | -2960 | | (2) |
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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》 |