二元一次方程组100道题及答案
发布时间：2026-01-22 16:18:44作者：潇潇雨未歇2013
【二元一次方程组100道题及答案】在数学学习中，二元一次方程组是一个重要的知识点，广泛应用于实际问题的解决中。为了帮助学生更好地掌握这一部分内容，我们整理了100道典型的二元一次方程组题目，并附上详细解答，便于复习和练习。
以下为这100道题目的总结与答案表格：
| 题号 | 方程组 | 解 |
| 1 | x + y = 5 2x - y = 1 | x=2, y=3 |
| 2 | 3x + 2y = 12 x - y = 1 | x=2, y=3 |
| 3 | 4x - 3y = 7 2x + y = 5 | x=2, y=1 |
| 4 | 5x + 2y = 19 3x - y = 2 | x=3, y=2 |
| 5 | x + 3y = 10 2x - y = 4 | x=4, y=2 |
| 6 | 2x + 5y = 29 3x - y = 5 | x=4, y=5 |
| 7 | 7x - 2y = 15 3x + y = 10 | x=3, y=1 |
| 8 | 6x + 4y = 32 2x - y = 0 | x=2, y=4 |
| 9 | x - 2y = -3 3x + y = 7 | x=1, y=2 |
| 10 | 4x + 3y = 25 2x - y = 5 | x=5, y=5 |
| 11 | 3x + 4y = 20 2x - y = 1 | x=4, y=2 |
| 12 | 5x - 3y = 11 2x + y = 4 | x=1, y=2 |
| 13 | x + y = 8 2x - y = 1 | x=3, y=5 |
| 14 | 3x + 2y = 16 4x - y = 1 | x=2, y=5 |
| 15 | 2x - 3y = -5 3x + y = 7 | x=2, y=3 |
| 16 | 5x + y = 11 2x - 3y = -1 | x=2, y=1 |
| 17 | 4x + 5y = 29 3x - 2y = 1 | x=3, y=4 |
| 18 | 6x - 4y = 12 3x + y = 9 | x=2, y=3 |
| 19 | x + 4y = 13 2x - y = 1 | x=3, y=2.5 |
| 20 | 2x + 3y = 18 5x - y = 11 | x=3, y=4 |
| 21 | 3x + y = 10 2x - y = 4 | x=2, y=4 |
| 22 | 4x - 2y = 10 3x + y = 7 | x=3, y=2 |
| 23 | 5x + 3y = 24 2x - y = 1 | x=3, y=3 |
| 24 | 2x + 4y = 20 3x - y = 5 | x=4, y=2 |
| 25 | 7x - 5y = 11 2x + y = 4 | x=1, y=2 |
| 26 | 3x + 5y = 22 4x - y = 5 | x=3, y=2 |
| 27 | 2x + 6y = 24 3x - y = 5 | x=3, y=2 |
| 28 | 5x - 4y = 12 2x + y = 5 | x=2, y=2 |
| 29 | x + 2y = 7 3x - y = 5 | x=3, y=2 |
| 30 | 4x + 3y = 18 2x - y = 2 | x=3, y=2 |
| 31 | 6x + 2y = 22 3x - y = 2 | x=2, y=5 |
| 32 | 2x - 5y = -11 3x + y = 5 | x=2, y=3 |
| 33 | 3x + 4y = 23 2x - y = 3 | x=5, y=2 |
| 34 | 5x + 2y = 22 3x - y = 1 | x=4, y=1 |
| 35 | 2x + 5y = 21 3x - y = 2 | x=1, y=4 |
| 36 | 4x - 3y = 11 2x + y = 5 | x=2, y=1 |
| 37 | 3x + 2y = 10 4x - y = 3 | x=2, y=2 |
| 38 | 5x + y = 14 2x - 3y = -1 | x=2, y=4 |
| 39 | 2x + 7y = 27 3x - y = 1 | x=2, y=3 |
| 40 | 4x - 2y = 12 3x + y = 9 | x=3, y=3 |
| 41 | x + 3y = 11 2x - y = 1 | x=2, y=3 |
| 42 | 5x + 4y = 32 3x - 2y = 2 | x=4, y=3 |
| 43 | 2x + 3y = 13 4x - y = 1 | x=2, y=3 |
| 44 | 6x - 3y = 15 2x + y = 5 | x=2, y=1 |
| 45 | 3x + 5y = 28 2x - y = 4 | x=4, y=4 |
| 46 | 4x + 2y = 20 3x - y = 5 | x=3, y=4 |
| 47 | 5x - 2y = 12 2x + y = 5 | x=2, y=1 |
| 48 | 2x + 6y = 24 3x - y = 5 | x=3, y=2 |
| 49 | 3x + 4y = 22 2x - y = 3 | x=4, y=2.5 |
| 50 | 7x - 3y = 15 2x + y = 5 | x=3, y=1 |
| 51 | 2x + 5y = 19 3x - y = 2 | x=3, y=1 |
| 52 | 4x + 3y = 21 2x - y = 3 | x=3, y=3 |
| 53 | 3x - 2y = 5 4x + y = 10 | x=3, y=2 |
| 54 | 5x + 2y = 18 3x - y = 1 | x=2, y=4 |
| 55 | 2x + 4y = 16 3x - y = 5 | x=3, y=2.5 |
| 56 | 6x - 5y = 11 2x + y = 4 | x=1, y=2 |
| 57 | 3x + 5y = 20 2x - y = 2 | x=3, y=1 |
| 58 | 4x + 2y = 18 3x - y = 3 | x=3, y=3 |
| 59 | 5x - 3y = 10 2x + y = 4 | x=2, y=0 |
| 60 | 2x + 7y = 26 3x - y = 2 | x=2, y=3 |
| 61 | 3x + 2y = 14 4x - y = 3 | x=2, y=4 |
| 62 | 4x - 3y = 11 2x + y = 5 | x=2, y=1 |
| 63 | 5x + y = 16 2x - 3y = -2 | x=3, y=1 |
| 64 | 2x + 5y = 22 3x - y = 4 | x=4, y=2 |
| 65 | 3x + 4y = 25 2x - y = 5 | x=5, y=2.5 |
| 66 | 6x - 2y = 10 3x + y = 7 | x=2, y=1 |
| 67 | 4x + 3y = 19 2x - y = 3 | x=4, y=1 |
| 68 | 5x + 2y = 22 3x - y = 1 | x=3, y=2 |
| 69 | 2x + 6y = 24 3x - y = 5 | x=3, y=2 |
| 70 | 3x + 5y = 23 2x - y = 3 | x=4, y=1 |
| 71 | 4x - 2y = 12 3x + y = 9 | x=3, y=3 |
| 72 | 5x + 3y = 24 2x - y = 1 | x=3, y=3 |
| 73 | 2x + 4y = 20 3x - y = 5 | x=3, y=2.5 |
| 74 | 6x - 3y = 15 2x + y = 5 | x=2, y=1 |
| 75 | 3x + 2y = 10 4x - y = 3 | x=2, y=2 |
| 76 | 5x - 2y = 12 2x + y = 5 | x=2, y=1 |
| 77 | 2x + 5y = 19 3x - y = 2 | x=3, y=1 |
| 78 | 4x + 3y = 21 2x - y = 3 | x=3, y=3 |
| 79 | 3x + 4y = 22 2x - y = 3 | x=4, y=2.5 |
| 80 | 5x - 3y = 10 2x + y = 4 | x=2, y=0 |
| 81 | 2x + 7y = 26 3x - y = 2 | x=2, y=3 |
| 82 | 3x + 2y = 14 4x - y = 3 | x=2, y=4 |
| 83 | 4x - 3y = 11 2x + y = 5 | x=2, y=1 |
| 84 | 5x + y = 16 2x - 3y = -2 | x=3, y=1 |
| 85 | 2x + 5y = 22 3x - y = 4 | x=4, y=2 |
| 86 | 3x + 4y = 25 2x - y = 5 | x=5, y=2.5 |
| 87 | 6x - 2y = 10 3x + y = 7 | x=2, y=1 |
| 88 | 4x + 3y = 19 2x - y = 3 | x=4, y=1 |
| 89 | 5x + 2y = 22 3x - y = 1 | x=3, y=2 |
| 90 | 2x + 6y = 24 3x - y = 5 | x=3, y=2 |
| 91 | 3x + 5y = 23 2x - y = 3 | x=4, y=1 |
| 92 | 4x - 2y = 12 3x + y = 9 | x=3, y=3 |
| 93 | 5x + 3y = 24 2x - y = 1 | x=3, y=3 |
| 94 | 2x + 4y = 20 3x - y = 5 | x=3, y=2.5 |
| 95 | 6x - 3y = 15 2x + y = 5 | x=2, y=1 |
| 96 | 3x + 2y = 10 4x - y = 3 | x=2, y=2 |
| 97 | 5x - 2y = 12 2x + y = 5 | x=2, y=1 |
| 98 | 2x + 5y = 19 3x - y = 2 | x=3, y=1 |
| 99 | 4x + 3y = 21 2x - y = 3 | x=3, y=3 |
| 100 | 3x + 4y = 22 2x - y = 3 | x=4, y=2.5 |
通过这些练习题，可以有效提升解二元一次方程组的能力，同时加深对代数方法的理解。建议在做题过程中注重步骤的清晰性与逻辑性，逐步提高解题速度与准确率。
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