详细信息: 输入的方程组为:
| | | | | 5701 50 | A | + | | | 42163 100 | B | + | | | 27463 100 | C | + | | | 74863 100 | D | + | | | 75963 100 | E | + | | | 8703 5 | F | + | | | 2418 5 | G | + | | | 9668 5 | H | + | | | 1163 5 | I | + | | | 88 5 | J | = | | | 1502643 5 | | (1) |
| | | | | | | | | | 解题过程:
将未知数的系数化为1,方程组化为:
| | | | A | + | | | 42163 11402 | B | + | | | 27463 11402 | C | + | | | 74863 11402 | D | + | | | 75963 11402 | E | + | | | 87030 5701 | F | + | | | 24180 5701 | G | + | | | 96680 5701 | H | + | | | 11630 5701 | I | + | | | 880 5701 | J | = | | | 15026430 5701 | | (1) |
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所以,方程组的解为:
| | | A = | | | 15026430 5701 | - | | | 42163 11402 | B | - | | | 27463 11402 | C | - | | | 74863 11402 | D | - | | | 75963 11402 | E | - | | | 87030 5701 | F | - | | | 24180 5701 | G | - | | | 96680 5701 | H | - | | | 11630 5701 | I | - | | | 880 5701 | J |
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将方程组的解化为小数:
| | | A = | | 2635.753377 | - | | | 42163 11402 | B | - | | | 27463 11402 | C | - | | | 74863 11402 | D | - | | | 75963 11402 | E | - | | | 87030 5701 | F | - | | | 24180 5701 | G | - | | | 96680 5701 | H | - | | | 11630 5701 | I | - | | | 880 5701 | J |
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其中: B, C, D, E, F, G, H, I, J 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》 |