Odpowiedź:
a)
(4x + 7) / 2 = x + 5 + (5x - 1) / 6 / * 6
12x + 21 = 6x + 30 + 5x - 1
12x - 6x - 5x = 30 - 1 - 21
x = 8
x = - 17/6
c)
(x + 5) /4 = 1/2 (2 - x) + (2x+ 1) /8 / * 8
2x + 10 = 4 (2 - x) + 2x + 1
2x + 10 = 8 - 4x + 2x + 1
2x + 4x - 2x = 8 + 1 - 10
4x = - 1 /: 4
x = - 1/4
e)
4x/9 - 5x/12 = 1 /* 36
16x - 15x = 36
x = 36
g)
(2x - 7) / 3 = (3x + 2) / 4 / * 12
8x - 28 = 9x + 6
8x - 9x = 6 + 28
- x = 34 / (- 1)
x = - 34
i)
(5 - z) / 8 = (18 - 5z) / 12 / * 48
30 - 6z = 72 - 20z
- 6z + 20z = 72 - 30
14z = 42/ :14
z = 42/14
z = 3
k)
(4t + 33) / 21 = (17 + t) / 14 / * 42
8t + 66 = 51 + 3t
8t - 3t = 51 - 66
5t = - 15 / :5
t = - 3
m)
(1 - 9y) / 5 = (19 + 3y) / 8 /* 40
8 - 72y = 95 + 15y
- 72y - 15y = 95 - 8
- 87y = 87 / : (- 87)
y = - 1
o)
(3x - 12) / 2 + x = 5 - 2x / * 2
3x - 12 + 2x = 10 - 4x
3x + 2x + 4x = 10 + 12
9x = 22 / : 9
x = 22/9
q)
x = 1/5 (1 - x/2) + 2 (x - 1) / * 10
10x = 2(1 - x/2) + 20 (x - 1)
10x = 2 - x + 20x - 20
10x + x - 20x = 2 - 20
- 9x = - 18 / : (- 9)
x = 2
s)
(5x - 2) / 2 - (3x - 1) / 3 = 1 / * 6
15x - 6 - 6x + 2 = 6
15x - 6x = 6 + 6 - 2
9x = 10 / : 9
x = 10/9
Szczegółowe wyjaśnienie:
