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(3x - 1)/5 = (x - 4)/2
2(3x - 1) = 5(x - 4)
6x - 2 = 5x - 20
6x - 5x = - 20 + 2
x = - 18
b)
3/(5 - 3x) = - 5/(2x - 3) założenie 5 - 3x ≠ 0 i 2x - 3 ≠ 0
- 3x ≠ - 5 i 2x ≠ 3
x ≠ 5/3 i x ≠ 3/2
- 5(5 - 3x) = 3(2x - 3)
- 25 + 15 x = 6x - 9
15 x - 6x = - 9 + 25
9x = 16
x = 16/9 = 1 7/9
c)
- (2x + 3)/2 + (x - 8)/4 = 1/4 / * 4
- 2(2x + 3) + x - 8 = 1
- 4x - 6 + x - 8 = 1
- 3x = 1 + 8 + 6
- 3x = 15
x = - 15/3 = - 5