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Odpowiedź:
a) 1/3x - x = 2 + 2
- 2/3x = 4 /: (-2/3)
x = 4 razy (-3/2)
x = -6
b) 1 - 6/7x = 4/7
- 6/7x = 4/7 - 1
- 6/7x = - 3/7 /: (- 6/7)
x = - 3/7 razy (- 7/6)
x = 1/2
c) 6(1/4x - 2) = 18
6/4x - 12 = 18
6/4x = 18 + 12
6/4x = 30 /: 6/4
x = 30 razy 4/6
x = 20
d) x/6 - 1/6 = 1
1/6x - 1/6 = 1
1/6x = 1 + 1/6
1/6x = 7/6 /: 1/6
x = 7/6 razy 6
x = 7
e) -2(2x - 1) = x/3
-4x + 2 = 1/3x
-4x - 1/3x = -2
- 13/3x = - 2 /: (- 13/3)
x = - 2 razy (- 3/13)
x = 6/13
f) 2/5(3 - x) = - 2
6/5 - 2/5x = - 2
- 2/5x = - 2 - 6/5
- 2/5x = - 16/5 /: (- 2/5)
x = - 16/5 razy (- 5/2)
x = 8
g) 3/4(2 - 3x) = - 6
6/4 - 9/4x = - 6
- 9/4x = - 6 - 6/4
- 9/4x = - 30/4 /: (- 9/4)
x = - 30/4 razy (- 4/9)
x = 10/3
h) 1/5(x - 3) = 9 - x
1/5x - 3/5 = 9 - x
1/5x + x = 9 + 3/5
6/5x = 48/5 /: 6/5
x = 48/5 razy 5/6
x = 8
i) (0,6 + x) / 2 = x + 1 / mnozymy przez 2 kazdy czynnik
0,6 + x = 2x + 2
x - 2x = 2 - 0,6
- x = 1,4 / razy (-1)
x = -1,4
Szczegółowe wyjaśnienie: