Question

Найдите корни уравнений;
1) 8-4(-7x+8)=4
2) 1-6(2x-3) =-2
3) 10+9(-10-9x)=8-x
4) -1+8(7-6x)=2x+6
5) -2+3(1+2x)=-2x+3
6) -3x+4=-10+5(-7-x)

Answer 1

Ответ:

1; 1,75; -1,1; 0,98; 0,25; 24,5

Объяснение:

1) 8-4(-7x+8)=4

28x-32=-4

28x=28

x=1

2) 1-6(2x-3) =-2

-12x+18=-3

-12x=-21

x=1,75

3) 10+9(-10-9x)=8-x

10-90-81x=8-x

10-90-8=-x+81x

-88=80x

x=-1,1

4) -1+8(7-6x)=2x+6

-1+56-48x=2x+6

-1+56-6=48x+2x

49=50x

x=0,98

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

-2+3+6x=-2x+3

-2+3-3=-2x-6x

-2=-8x

x=0,25

6) -3x+4=-10+5(-7-x)

-3x+4=-10-35-5x

-3x+5x=-10-35-4

2x=-49

x=24,5

Answer 2

1) 8 - 4(- 7x + 8) = 4

8 + 28x - 32 = 4

28x = 4 - 8 + 32

28x = 28

x = 1

2) 1 - 6(2x - 3) = - 2

1 - 12x + 18 = - 2

- 12x = - 2 - 1 - 18

- 12x = - 21

x = 1,75

3) 10 + 9(- 10 - 9x) = 8 - x

10 - 90 - 81x = 8 - x

- 81x + x = 8 - 10 + 90

- 80x = 88

x = - 1,1

4) - 1 + 8(7 - 6x) = 2x + 6

- 1 + 56 - 48x = 2x + 6

- 48x - 2x = 6 + 1 - 56

- 50x = - 49

x = 0,98

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

- 2 + 3 + 6x = - 2x + 3

6x + 2x = 3 + 2 - 3

8x = 2

x = 0,25

6) - 3x + 4 = - 10 + 5(- 7 - x)

- 3x + 4 = - 10 - 35 - 5x

- 3x + 5x = - 10 - 35 - 4

2x = - 49

x = - 24,5