解一元一次方程难题精选

admin 外汇 1

一元一次方程是指形如 ax + b = 0 的方程,其中 a 和 b 是常数,且 a ≠ 0。下面是一些一元一次方程的难题精选:

1. 难题一:

解方程:2(x 3) 3(x + 2) = 5x 8

解答:

2(x 3) 3(x + 2) = 5x 8

2x 6 3x 6 = 5x 8

-x 12 = 5x 8

-x 5x = -8 + 12

-6x = 4

x = -4/6

x = -2/3

2. 难题二:

解方程:3(2x 1) + 4(3x + 2) = 2x + 8

解答:

3(2x 1) + 4(3x + 2) = 2x + 8

6x 3 + 12x + 8 = 2x + 8

18x + 5 = 2x + 8

18x 2x = 8 5

16x = 3

x = 3/16

3. 难题三:

解方程:5(x 2) 3(2x + 1) = 2x 9

解答:

5(x 2) 3(2x + 1) = 2x 9

5x 10 6x 3 = 2x 9

-x 13 = 2x 9

-x 2x = -9 + 13

-3x = 4

x = -4/3

4. 难题四:

解方程:2(x + 3) 3(x 2) = 4(x 1) + 5

解答:

2(x + 3) 3(x 2) = 4(x 1) + 5

2x + 6 3x + 6 = 4x 4 + 5

-x + 12 = 4x + 1

-x 4x = 1 12

-5x = -11

x = 11/5

5. 难题五:

解方程:5(x 1) 2(3x + 4) = 3(x + 2) 7

解答:

5(x 1) 2(3x + 4) = 3(x + 2) 7

5x 5 6x 8 = 3x + 6 7

-x 13 = 3x 1

-x 3x = -1 + 13

-4x = 12

x = -12/4

x = -3

这些难题可以帮助你提高解一元一次方程的能力。在解题过程中,注意观察方程的特点,运用适当的代数运算和化简技巧。