详细信息: 输入的方程组为:
| | | | 212 | A | + | | 129 | B | + | | 100 | C | + | | 63 | D | + | | 11 | E | + | | 8 | F | + | | 3 | G | + | | H | + | | I | + | | J | + | | K | + | | L | = | | 2 | | (1) |
| | | | | | | | | | | | 解题过程:
将未知数的系数化为1,方程组化为:
| | | | A | + | | | 129 212 | B | + | | | 25 53 | C | + | | | 63 212 | D | + | | | 11 212 | E | + | | | 2 53 | F | + | | | 3 212 | G | + | | | 1 212 | H | + | | | 1 212 | I | + | | | 1 212 | J | + | | | 1 212 | K | + | | | 1 212 | L | = | | | 1 106 | | (1) |
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所以,方程组的解为:
| | | A = | | | 1 106 | - | | | 129 212 | B | - | | | 25 53 | C | - | | | 63 212 | D | - | | | 11 212 | E | - | | | 2 53 | F | - | | | 3 212 | G | - | | | 1 212 | H | - | | | 1 212 | I | - | | | 1 212 | J | - | | | 1 212 | K | - | | | 1 212 | L |
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将方程组的解化为小数:
| | | A = | | 0.009434 | - | | | 129 212 | B | - | | | 25 53 | C | - | | | 63 212 | D | - | | | 11 212 | E | - | | | 2 53 | F | - | | | 3 212 | G | - | | | 1 212 | H | - | | | 1 212 | I | - | | | 1 212 | J | - | | | 1 212 | K | - | | | 1 212 | L |
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其中: B, C, D, E, F, G, H, I, J, K, L 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》 |