详细信息: 输入的方程组为:
| | | | 12 | A | + | | 13 | B | + | | 15 | C | + | | 13 | D | + | | 15 | E | + | | 30 | F | + | | 30 | G | + | | 13 | H | = | | 50 | | (1) |
| | | | | | | | 解题过程:
将未知数的系数化为1,方程组化为:
| | | | A | + | | | 13 12 | B | + | | | 5 4 | C | + | | | 13 12 | D | + | | | 5 4 | E | + | | | 5 2 | F | + | | | 5 2 | G | + | | | 13 12 | H | = | | | 25 6 | | (1) |
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所以,方程组的解为:
| | | A = | | | 25 6 | - | | | 13 12 | B | - | | | 5 4 | C | - | | | 13 12 | D | - | | | 5 4 | E | - | | | 5 2 | F | - | | | 5 2 | G | - | | | 13 12 | H |
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将方程组的解化为小数:
| | | A = | | 4.166667 | - | | | 13 12 | B | - | | | 5 4 | C | - | | | 13 12 | D | - | | | 5 4 | E | - | | | 5 2 | F | - | | | 5 2 | G | - | | | 13 12 | H |
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其中: B, C, D, E, F, G, H 为任意常数。 解方程组的详细方法请参阅:《多元一次方程组的解法》 |