Odpowiedź:
I
3x- 4= 5x - 6
3x- 5x= - 6 + 4
- 2x = - 2
2x = 2
x= 2/2 = 1
8x - (5- 2x) = 3x + 2
8x - 5 + 2x = 3x+ 2
10x- 5= 3x+ 2
10x- 3x = 2+ 5
7x = 7
x = 7/7 = 1
2/3(1 - x) - 1 1/3 = 1/3(x- 6) + 1/3
1/3(1 - x) - 4/3 = 1/3(x - 6) + 1/3 | * 3
1 - x - 4 = x- 6 + 1
- x - 3 = x - 5
- x - x = - 5 + 3
- 2x = -2
2x = 2
x = 2/2 = 1
II
x + 2 = 3(x + 1)
x + 2 = 3x+ 3
x- 3x = 3 -2
-2x = 1
2x = -1
x= - 1/2
5(x + 2) -2x = - (x - 8)
5x+ 10 - 2x = -x + 8
3x + 10 = - x + 8
3x + x = 8 - 10
4x = - 2
x = - 2/4 = - 1/2
2(x + 2)/3 = 4x + 3
2(x + 2) = 3(4x + 3)
2x+ 4 = 12x + 9
2x - 12x = 9 - 4
- 10x = 5
10x = - 5
x= - 5/10 = - 1/2
III
2x- 3 = 1/3x + 2 | * 3
3(2x- 3) = x + 6
6x - 9 = x + 6
6x - x = 6 + 9
5x = 15
x= 15/5=3
-5x + 4 = 3 - 2(x + 4)
- 5x + 4 = 3 - 2x - 8
- 5x + 4 = - 2x - 5
- 5x+ 2x = - 5 - 4
- 3x = - 9
3x = 9
x = 9/3 = 3
2(4 - x) -3 = - 3(x - 4) - 4
8 - 2x - 3 = -3x + 12 - 4
- 2x + 5 = - 3x + 8
-2x + 3x = 8 -5
x = 3
IV
4(x - 2) = 6(x - 1)
4x - 8 = 6x - 6
4x - 6x= -6 + 8
-2x= 2
2x= -2
x = -2/2= - 1
2/5x + 4= - 3,6x | * 5
2x + 20 = - 18x
2x + 18x = - 20
20x = - 20
x = - 20/20 = - 1
[3(x - 1) + 2]/4 = x | * 4
3(x - 1) + 2 = 4x
3x- 3 + 2 = 4x
3x - 1 = 4x
3x - 4x = 1
- x = 1
x = - 1
