Odpowiedź:
a)
2(5a - 3) - a - 4(3a - 2) = 0
10a - 6 - a - 12a + 8 = 0
-3a = 6 - 8 /:(-3)
x = 2/3
b)
2b - (1 - b) = 11 - b
2b - 1 + b + b = 11
4b = 11 + 1 /:4
b = 12/4 = 3
c)
2/5(x - 2) = x + 4
2/5x - 4/5 = x + 4
2/5x - x = 4 + 4/5
-3/5x = 4 4/5 /*(-5/3)
x = -5/3 * 24/5 = -8
d)
3y - 2(y - 1) = -6
3y - 2y + 2 = -6
y = -6 - 2 = -8
e)
3(3 - 5y²) = 90 - 5(3y² - 2y)
9 - 15y² = 90 - 15y² + 10y
-15y² + 15y² - 10y = 90 - 9
-10y = 81 /:(-10)
y = -8,1
f)
1/4z + (z - 6) = 2/3(z - 2)
1/4z + z - 6 = 2/3z - 4/3
5/4z - 2/3z = -1 1/3 + 6
15/12z - 10/12z = 4 2/3
5/12z = 14/3 /*12/5
z = 14/3 * 12/5 = 56/3 = 18 2/3
g)
5(2 - 3x²) = 3(2 - 5x²) + x
10 - 15x² = 6 - 15x² + x
-15x² + 15x² - x = 6 - 10
-x = -4 /*(-1)
x = 4
h)
0,6(1 - x) = 0,3(8 - x)
0,6 - 0,6x = 2,4 - 0,3x
-0,6x + 0,3x = 2,4 - 0,6
-0,3x = 1,8 /:(-0.3)
x = -6
Szczegółowe wyjaśnienie:
