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10道解方程题以及答案
时间:2024-12-23 19:19:28
答案

1. 解方程组:

5x + 3y = 348

3x + 2y = 216

首先,将第一个方程乘以3,第二个方程乘以5,得到:

15x + 9y = 1044

15x + 10y = 1080

接着,将第二个方程减去第一个方程,得到:

10y - 9y = 1080 - 1044

y = 36

将y = 36代入第一个方程:

5x + 3(36) = 348

5x + 108 = 348

5x = 240

x = 48

因此,原方程的解为 x = 48, y = 36。

2. 解方程:

7(2x + 1) = 49

将等式两边同时除以7:

2x + 1 = 7

2x = 6

x = 3

3. 解方程:

(x + 8) ÷ 8 = 6

将等式两边同时乘以8:

x + 8 = 48

x = 40

4. 解方程:

4(x + 3) = 32 × 3

x + 3 = 32 × 3 / 4

x + 3 = 24

x = 21

5. 解方程:

3(x + 5) - 42 = 12

3(x + 5) = 12 + 42

x + 5 = 54 / 3

x + 5 = 18

x = 13

6. 解方程:

(10x - 90 + 2x) ÷ 2 = 75

将等式两边同时乘以2:

10x - 90 + 2x = 150

12x = 240

x = 20

7. 解方程:

(7x - 3x + 59) ÷ 3 = 29

将等式两边同时乘以3:

7x - 3x + 59 = 87

4x + 59 = 87

4x = 28

x = 7

8. 解方程:

9x - 8 = x

将x项移到等式一边:

9x - x = 8

8x = 8

x = 1

9. 解方程:

12x + 12 = 16x

将x项移到等式一边:

12x - 16x = -12

-4x = -12

x = 3

10. 解方程:

144 ÷ x + 6 = 12

将等式两边同时减去6:

144 ÷ x = 12 - 6

144 ÷ x = 6

x = 144 ÷ 6

x = 24

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