Odpowiedź:
Szczegółowe wyjaśnienie:
a)
7x - 6 = - 6x + 7
7x + 6x = 7 + 6
13x = 13 /:13
x = 1
Spr:
L = 7 * 1 - 6 = 7 - 6 = 1
P = - 6 * 1 + 7 = - 6 + 7 = 1
L = P
b)
⅓x + 2 = x /*3
x + 6 = 3x
x - 3x = - 6
- 2x = - 6 /:(-2)
x = 3
Spr :
L = ⅓ * 3 + 2 = 1+ 2 = 3
P =3
L = P
c)
- 7 (2x + 1)= 4
- 14x - 7 = 4
- 14x = 4 + 7
- 14x = 11 /: (-14)
x = - 11/14
Spr :
L = - 7[( 2 * (-11/14) + 1)] = -7 (- 22/14 + 1) = -7 ( - 1 4/7 + 1) = -7 * (- 4/7) = 28/7 = 4
P = 4
L = P
d)
8 = 6(x - 1)- 4x
8 = 6x - 6 - 4x
8 = 2x - 6
- 2x = - 6 - 8
- 2x = - 14 /:(-2)
x = 7
Spr :
L = 8
P = 6(7 - 1) - 4 * 7 = 6 * 6 - 28 = 36 - 28= 8
L = P
