Question

1. Rozwiąż równania :

a) 2x - 7 = 6 - 3x

b)4 - 3x = 6 - 5x

c)3(2x - 7) = 3x - 6

d)7 - 2(x - 3) = 5x + 1

e)x/2 = 4/7

f)2x - 3/2 = 3/4

g)x/3 - 2x - 1/2 = 5

Answer 1

a) 2x - 7 = 6 - 3x
2x + 3x = 6 + 7
5x = 13   /:5
x = 2,6

b) 4 - 3x = 6 - 5x
-3x + 5x = 6 - 4
2x = 2    /:2
x = 1

c) 3(2x - 7) = 3x - 6
6x - 21 = 3x - 6
6x - 3x = -6 + 21
3x = 15    /:3
x = 5

d) 7 - 2(x - 3) = 5x + 1
7 - 2x + 6 = 5x + 1
-2x - 5x = 1 - 7 - 6
-7x = -12    /:(-7) 
x = 12/7

e) x/2 = 4/7
7x = 2*4
7x = 8    /:7
x = 8/7

f) 2x - 3/2 = 3/4    /*4
8x - 6 = 3
8x = 3 + 6
8x = 9 /:8
x = 9/8

g) x/3 - 2x - 1/2 = 5    /*6
2x - 12x - 3 = 30
2x - 12x = 30 + 3
-10x = 33    /:(-10)
x = -3,3