Odpowiedź:
a)
x/3 +1 = 5/6 + x/2 | · 6
2x + 6 = 5 + 3x
2x - 3x = 5 - 6
- x = -1 | · (-1)
x = 1
b)
2x-3/4 = 1/2 + x | · 4
2x - 3 = 2 + 4x
2x - 4x = 2 + 3
-2x = 5 | : (- 2)
x = - 5/2
x = - 2 1/2
c)
x+2/9 + x-1/3 +1 | · 9
9x + 1 + 9x - 3 + 9 = 0
18x = - 7 | : 18
x= -7/18
d)
2x+ 3/5 = 2-x/3 + x | · 15
3 (2x + 3) = 5 (2 - x) + 15x
6x + 9 = 10 - 5x + 15x
-4x = 1 | : (-4)
x= - 1/4
e)
3x-5/2 + 5x-1/10 = 0 | · 10
5 (3x - 5) + 5x -1 = 0
15x - 25 + 5x - 1 = 0
20x - 26 = 0
20x = 26 | : 20
x = 26/20
x = 13/10
x = 1 3/10
f)
x/2 - 1 = 2/5 (4 -x) - 4
x/2 - 1 = 8/5 - 2/5x - 4 | · 10
5x - 10 = 16 - 4x - 40
5x - 10 = - 24 - 4x
5x + 4 = - 24 + 10
9x = - 14 | :9
x = - 14/9
x = -1 5/9
g)
2x-1/5 - x-2/2 = 0,7x | · 10
2 (2x - 1) -5 (x - 2) = 7x
4x - 2 - 5x + 10 = 7x
- x + 8 = 7x
- x - 7x = - 8
- 8x = - 8 | : (- 8)
x = 1
h)
2x - 3x+5/4 = - 1/4 x - 1 | · 4
8x -3x -5 = - x - 4
5x + x = - 4 + 5
6x = 1 | : 6
x = 1/6
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