详细信息：
输入的方程组为：
 | | | | | A | + | | B | + | | C | + | | D | + | | E | = | | 78 | | (1) |
| | | A | + | | B | + | | C | + | | D | + | | E | = | | 89 | | (2) |
| | | A | + | | B | + | | C | + | | D | + | | E | = | | 82 | | (3) |
| | | A | + | | B | + | | C | + | | D | + | | E | = | | 98 | | (4) |
| | | A | + | | B | + | | C | + | | D | + | | E | = | | 105 | | (5) |
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解题过程：
用第 (2) 式两边同时 减去 第 (1) 等式两边，方程组化为：
 | | | | | A | + | | B | + | | C | + | | D | + | | E | = | | 78 | | (1) |
| | | | A | + | | B | + | | C | + | | D | + | | E | = | | 82 | | (3) |
| | | A | + | | B | + | | C | + | | D | + | | E | = | | 98 | | (4) |
| | | A | + | | B | + | | C | + | | D | + | | E | = | | 105 | | (5) |
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由第(2)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》 |
