Odpowiedź:
a)
x/12 + 5x/6 + 3x/4 - 1 = 5(x - 1,2) | * 12
x + 2 * 5x + 3 * 3x - 12 = 12 * 5(x - 1,2)
x + 10x + 9x - 12 = 60x - 72
20x - 12 = 60x - 72
20x - 60x = - 72 + 12
- 40x = - 60
40x = 60
x = 60/40 = 6/4 = 1 2/4 = 1 1/2
b)
2 3/5x + 3 = 5 2/3x - 1/15
13/5x + 3 = 17/3x - 1/15 | * 15 6
3 * 13x + 3 * 15 = 5 * 17x - 1
39x + 45 = 85x - 1
39x - 85x = - 1 - 45
- 46x = - 46
46x = 46
x = 46/46 = 1
c)
(x - 5)/8 - 5x/12 = 1,5 | * 24
3(x - 5) - 2 * 5x = 1,5 * 24
3x - 15 - 10x = 36
- 7x = 36 + 15
- 7x = 51
7x = - 51
x = - 51/7 = - 7 2/7
d)
y + 3(2 - y)/2 = - 1/6 + (- 3 - y)/3 | * 6
6y + 3 * 3(2 - y) = - 1 + 2(- 3 - y)
6y + 9(2 - y) = - 1 - 6 - 2y
6y + 18 - 9y = - 7 - 2y
- 3y + 18 = - 7 - 2y
- 3y + 2y = - 7 - 18
- y = - 25
y = 25
