Odpowiedź:
a)
8x + 30 = 30
8x= 30 - 30
8x= 0
x= 0
spr.
8x + 30 = 30
L= 8x + 30 = 8*0 + 30 = 0 + 30 = 30
P= 30
30=30
L=P
b)
4x - 5 = 7
4x = 7 + 5
4x = 12
x= 12 : 4
x= 3
spr.
4x - 5 = 7
L= 4x - 5 = 4*3 - 5 = 12 - 5 = 7
P= 7
7=7
L=P
c)
48 + 8x = 8
8x = 8 - 48
8x = - 40
x= - 40 : 8
x= - 5
spr.
48 + 8x = 8
L= 48 + 8x = 48 +8*(-5) = 48 + (-40) = 48 - 40 = 8
P= 8
8=8
L=P
d)
20x - 90 = 10
20x = 10 + 90
20x = 100
x= 100 : 20
x= 5
spr.
20x - 90 = 10
L= 20x - 90 = 20*5 - 90 = 100 - 90 = 10
P= 10
10=10
L=P
e)
4- 6x = -8
-6x = - 8 - 4
- 6x = - 12
x= - 12 : (-6)
x= 2
spr.
4- 6x = -8
L= 4 - 6x = 4 - 6*2 = 4 - 12= - 8
P= - 8
-8 = -8
L=P
f)
18 - 5x = 23
-5x = 23 - 18
-5x = 5
x= 5 : (-5)
x= - 1
spr.
18 - 5x = 23
L= 18 - 5x = 18 -5(-1) = 18 - (-5) = 18 + 5= 23
P= 23
23=23
L=P
Szczegółowe wyjaśnienie: