Найдите корень уравнения. 1) 9(x-1)=x+152) (11x+14)-(5x-8)=253) 12-4(x-3)=39-9x4)

Ответ:

Пошаговое разъяснение:

Найдите корень уравнения.  

1)

9(x-1)=x+15

9x - 9 = x + 15

9x - x = 15 + 9

8x = 24

x = 24 : 8

x = 3

2)

(11x+14)-(5x-8)=25

11x + 14 - 5x + 8 = 25

6x + 22 = 25

6x = 25 - 22

6x = 3

x = 3 : 6

x = 0,5

3)

12-4(x-3)=39-9x

12 - 4x + 12 = 39 - 9x

24 - 4x = 39 - 9x

9x - 4x = 39 - 24

5x = 15

x = 15 : 5

x = 3

4)

2(3x+5)-3(4x-1)=11,8

6x + 10 - 12x + 3 = 11,8

-6x + 13 = 11,8

6x = 13 - 11,8

6x = 1,2

x = 1,2 : 6

x = 0,2

Решите уравнение:

1)

-7(2-3x)=56

-14 + 21x = 56

21x = 56 + 14

21x = 70

x = 70 : 21

x = 3 1/3

2)

(5+7a)*15= -30

75 + 105a = -30

105a = -30 - 75

105a = -105

a = -1

Решите уравнение:  

1)

0,4(x-3)-1,6=5(0,1x-0,5)

0,4x - 1,2 - 1,6 = 0,5x - 2,5

0,4x - 2,8 = 0,5x - 2,5

0,5x - 0,4x = -2,8 + 2,5

0,1x = -0,3

x = -0,3 : 0,1

x = -3

2)

1,5(2x-5)+2x=5(0,5x-1,5)-10

3x - 7,5 + 2x = 2,5x - 7,5 - 10

5x - 7,5 = 2,5x - 17,5

5x - 2,5x = -17,5 + 7,5

2,5x = -10

x = -10 : 2,5

x = -4

3)

2/3 (1 1/2x+3/5)-4/5(5/12x-1/2)=1 3/5

x + 2/5 - 1/3x + 2/5 = 1 3/5

2/3x + 4/5 = 1 3/5

2/3x = 1 3/5 - 4/5

2/3x = 4/5

x = 4/5 * 3/2

x = 6/5

x = 1 1/5

Чему равен корень уравнения:

1)

(x-8)/(x+2)=7/3

7*(x+2) = 3*(x-8)

7x + 14 = 3x - 24

7x - 3x = -24 - 14

4x = -38

x = -38 : 4

x = -9 1/2

2)

4/(x-12)=15/(x-10)

15*(x-12) = 4*(x-10)

15x - 180 = 4x - 40

15x - 4x = 180 - 40

11x = 140

x = 140 : 11

x = 12 8/11