详细信息: 输入的方程组为:
 | | | | | 889 25 | A | + | | | 1867 100 | B | + | | | 1917 100 | C | + | | | 1117 100 | D | + | | | 3317 100 | E | + | | | 121 10 | F | + | | | 51 10 | G | + | | | 51 10 | H | + | | | 101 10 | I | + | | | 141 10 | J | + | | | 141 10 | K | = | | | 850341 10 | | (1) |
| | | | | | | | | | | 解题过程:
将未知数的系数化为1,方程组化为:
 | | | | A | + | | | 1867 3556 | B | + | | | 1917 3556 | C | + | | | 1117 3556 | D | + | | | 3317 3556 | E | + | | | 605 1778 | F | + | | | 255 1778 | G | + | | | 255 1778 | H | + | | | 505 1778 | I | + | | | 705 1778 | J | + | | | 705 1778 | K | = | | | 4251705 1778 | | (1) |
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所以,方程组的解为:
 | | | A = | | | 4251705 1778 | - | | | 1867 3556 | B | - | | | 1917 3556 | C | - | | | 1117 3556 | D | - | | | 3317 3556 | E | - | | | 605 1778 | F | - | | | 255 1778 | G | - | | | 255 1778 | H | - | | | 505 1778 | I | - | | | 705 1778 | J | - | | | 705 1778 | K |
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将方程组的解化为小数:
 | | | A = | | 2391.285152 | - | | | 1867 3556 | B | - | | | 1917 3556 | C | - | | | 1117 3556 | D | - | | | 3317 3556 | E | - | | | 605 1778 | F | - | | | 255 1778 | G | - | | | 255 1778 | H | - | | | 505 1778 | I | - | | | 705 1778 | J | - | | | 705 1778 | K |
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其中: B, C, D, E, F, G, H, I, J, K 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》 |