Ответ:

а) 2х - 3/2 = 1 + х/4

2х-1,5=1+1/4х

8х-6=4+х

7х=10

х=1

Пошаговое объяснение:

Ответ:

Пошаговое объяснение:

а) (2х - 3)/2 = (1 + х)/4

4*(2x - 3) = 2*(1 + x)

8x - 12 = 2 + 2x

8x - 2x = 2+12

6x = 14

x = 14:6

x = 2 1/3

б) 5х/2 = (19 - 2х)/3

2*(19 - 2x) = 3*5x

38 - 4x = 15x

15x + 4x = 38

19x = 38

x = 38:19

x = 2

в) (2 - х)/5 + 2 = (3+2х)/2

2*(2 - x) + 2*10 = 5*(3 + 2x)

4 - 2x + 20 = 15 + 10x

24 - 2x = 15 + 10x

10x + 2x = 24 - 15

12x = 9

x = 9:12

x = 0,75

г) (х + 2)/8 - х/4 = (3+х)/2

1*(x + 2) - 2*x = 4*(3 + x)

x + 2 - 2x = 12 + 4x

-x + 2 = 12 + 4x

4x + x = 2 - 12

5x = -10

x = -10:5

x = -2

д) (3х + 5)/3 - (х - 4)/6 = х/2

2*(3x + 5) - 1*(x - 4) = 3*x

6x + 10 - x + 4 = 3x

5x + 14 = 3x

5x - 3x = -14

2x = -14

x = -14:2

x = -7

е) (3х + 1)/4 - х/6 = (1 - х)/8​

6*(3x + 1) - 4*x = 3*(1 - x)

18x + 6 - 4x = 3 - 3x

14x + 6 = 3 - 3x

14x + 3x = 3 - 6

17x = -3

x = -3 : 17

x = -3/17