Odpowiedź:
f) 10x=4x-6 / -4x
6x = -6 / :6
x = -1
g) 3x=9-6x / +6x
9x = 9 / :9
x = 1
h) 5x=4x+4 / -4x
x = 4
a) 8-3x=6x-10
8 + 10 = 6x + 3x
18 = 9x / :9
x = 2
b) 7x -4=9+8x
7x - 8x = 9 + 4
-x = 13
x = -13
c) -5+7x=2x-20
-5 + 20 = 2x - 7x
15 = -5x / : (-5)
x = -3
d) 8-2x=-4+2x
8 + 4 = 2x + 2x
12 = 4x / :4
x = 3
Szczegółowe wyjaśnienie:
Odpowiedź:
a)
8-3x=6x-10
-3x - 6x = - 10 - 8
- 9x = - 18
x= - 18 : (-9)
x= 2
spr.
8 - 3x = 6x - 10
L= 8 - 3x= 8 - 3*2= 8- 6= 2
P= 6x - 10 = 6*2 - 10 = 12 - 10= 2
2=2
L=P
b)
7x -4=9+8x
7x - 8x = 9 + 4
-x = 13 /*(-1)
x= - 13
spr.
7x -4=9+8x
L= 7x - 4= 7 * (-13) - 4= - 91 - 4= - 95
P = 9 + 8 *(-13) = 9 - 104 = - 95
-95= - 95
L=P
c)
-5+7x=2x-20
7x - 2x= - 20 + 5
5x = - 15
x= - 15 : 5
x= - 3
spr.
-5+7x=2x-20
L= -5 + 7x = - 5 + 7*(-3) = - 5 + (-21) = - 5 - 21= - 26
P= 2x - 20 = 2*(-3) -20 = - 6 - 20 = - 26
-26 = - 26
L=P
d)
8-2x=-4+2x
-2x - 2x= - 4 - 8
-4x = - 12
x= - 12 : (-4)
x= 3
spr.
8-2x=-4+2x
L= 8 - 2x= 8 - 2*3 = 8 - 6 = 2
P= - 4 + 2x= - 4 + 2* 3= - 4 + 6 = 2
2=2
L=P
f)
10x=4x-6
10x - 4x = - 6
6x = - 6
x= - 6: 6
x= - 1
spr.
10x=4x-6
L = 10x = 10 * (-1) = - 1
P= 4x - 6 = 4*(-1) - 6 = - 4 - 6 = - 10
-10 = - 10
L=P
g)
3x=9-6x
3x + 6x = 9
9x = 9
x= 9 : 9
x= 1
spr.
3x=9-6x
L= 3x = 3*1 = 3
P = 9 - 6x = 9 - 6*1 = 9 - 6 = 3
3=3
L=P
h)
5x=4x+4
5x - 4x = 4
x= 4
spr.
5x = 4x + 4
L= 5x = 5*4 = 20
P= 4x + 4 = 4*4 + 4= 16 + 4 = 20
20 = 20
L=P
Szczegółowe wyjaśnienie:
