Odpowiedź:
1) 2x - 3x + 1 = 6
x = 6 - 1
x = 5
2) 3 - 3(x + 1) = -(4x +1)
3 - 3x - 3 = -4x - 1
3 - 3 + 1 = -4x + 3x
1 = -x /:(-1)
-1 = x
3) - 2(3 - 2x) = 17 + 2(5x - 1)
-6 + 4x = 17 + 10x - 2
-6 -17 +2 = 10x -4x
- 21 = 7x /:7
-3 = x
4) 6(5 - 3x) = 3 - 9x
30 - 18x = 3 - 9x
30 - 3 = -9x + 18x
27 = 9x /:9
x = 3
5) (2x - 3)/ 4 = 1/2 + x /*4
2x - 3 = 2 + 4x
-3 - 2 = 4x - 2x
-5 = 2x /:2
- 5/2 = x
6) 0,4x + 2,3 = 1,2x - 2,5
2,3 + 2,5 = 1,2x - 0,4x
4,8 = 0,8x /:0,8
6 = x
7) -4x/3 + 6 = 2x - 4 /*3
-4x + 18 = 6x - 12
18 + 12 = 6x + 4x
30 = 10x /:3
3 = x
8) (x-3)/2 + 1,5 - (x-1)/8 = (x+3)/4 /*8
4(x-3) + 12 - x + 1 = 2(x+3)
4x - 12 + 12 -x +1 = 2x + 6
4x - x - 2x = 6 - 1
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Odpowiedź:
1) 2x - 3x + 1 = 6
x = 6 - 1
x = 5
2) 3 - 3(x + 1) = -(4x +1)
3 - 3x - 3 = -4x - 1
3 - 3 + 1 = -4x + 3x
1 = -x /:(-1)
-1 = x
3) - 2(3 - 2x) = 17 + 2(5x - 1)
-6 + 4x = 17 + 10x - 2
-6 -17 +2 = 10x -4x
- 21 = 7x /:7
-3 = x
4) 6(5 - 3x) = 3 - 9x
30 - 18x = 3 - 9x
30 - 3 = -9x + 18x
27 = 9x /:9
x = 3
5) (2x - 3)/ 4 = 1/2 + x /*4
2x - 3 = 2 + 4x
-3 - 2 = 4x - 2x
-5 = 2x /:2
- 5/2 = x
6) 0,4x + 2,3 = 1,2x - 2,5
2,3 + 2,5 = 1,2x - 0,4x
4,8 = 0,8x /:0,8
6 = x
7) -4x/3 + 6 = 2x - 4 /*3
-4x + 18 = 6x - 12
18 + 12 = 6x + 4x
30 = 10x /:3
3 = x
8) (x-3)/2 + 1,5 - (x-1)/8 = (x+3)/4 /*8
4(x-3) + 12 - x + 1 = 2(x+3)
4x - 12 + 12 -x +1 = 2x + 6
4x - x - 2x = 6 - 1
x = 5
Szczegółowe wyjaśnienie:
-x = 6 - 1
-x = 5 /:(-1)
-6 + 4x = 17 + 10x - 2
-6 -17 +2 = 10x -4x
- 21 = 6x /:6
-21/6 = x x= -7/2