Odpowiedź:
d)
x/6 - 1/6 = 1
1/6x = 1 + 1/6 /*6
x = 1 1/6 * 6 = 7/6 * 6 = 7
e)
-2(2x - 1) = x/3
-4x + 2 = 1/3x
-4x - 1/3x = -2
-4 1/3x = -2
-13/3x = -2 /*(-3/13)
x = 2 * 3/13 = 6/13
f)
2/5(3 - x) = -2
6/5 - 2/5x = -2
-2/5x = -2 - 1 1/5 /(-5/2)
X = 3 1/5 * 5/2 = 16/5 * 5/2 = 16/2 = 8
g)
3/4(2 - 3x) = -6
3/2 - 9/4x = -6
-9/4x = -6 - 1 1/2
-9/4x = -7 1/2 /*(-4/9)
x = 15/2 * 4/9 = 5*2/3 = 10/3 = 3 1/3
h)
1/5(x - 3) = 9 - x
1/5x - 3/5 = 9 - x
1/5x + x = 9 + 3/5
1 1/5x = 9 3/5
6/5x = 48/5 /*5/6
x = 48/5 * 5/6 = 8
i)
(0,6 + x)/2 = x + 1
0,3 + 1/2x = x + 1
1/2x - x = 1 - 3/10
-1/2x = 7/10 /*(-2)
x = -7/10 * 2 = -7/5 = -1 2/5
Szczegółowe wyjaśnienie: