Odpowiedź:
2.
a)
x/3 + 1 = 5/6 + x/2 | * 6
2x + 6 = 5 + 3x
2x - 3x = 5 - 6
- x = - 1
x = 1
b)
(2x - 3)/4 = 1/2 + x | * 4
2x - 3 = 2 + 4x
2x - 4x = 2 + 3
- 2x = 5
2x = - 5
x = - 5/2 = - 2,5
c)
(x + 2)/9 + (x - 1)/3 = 1 | * 9
x + 2 + 3(x - 1) = 9
x + 2 + 3x - 3 = 9
4x - 1 = 9
4x = 9 + 1 = 10
x = 10/4 = 2 2/4 = 2 1/2 = 2,5
d)
(2x + 3)/5 = (2 - x)/3 + x | * 15
3(2x + 3) = 5(2 - x) + 15x
6x + 9 = 10 - 5x + 15x
6x + 9 = 10 + 10x
6x - 10x = 10 - 9
- 4x = 1
4x = - 1
x = - 1/4
