Найдите корень уравнение ( дам)

Пошаговое объяснение:

1)

4/7(х - 1) = 2/7 + х

4/7х - 4/7 = 2/7 + х

4/7х - х = 2/7 + 4/7

-3/7х = 6/7

х = 6/7 : (-3/7)

х = 6/7 * (-7/3)

х = -6/3

хх = -2

2)

4. 5/9 - 1/6x = 5(1 + 0,1x)

4. 5/9 - 1/6x = 5 + 0,5x

-1/6х - 0,5х = 5 - 4. 5/9

-1/6х - 1/2х = 4. 9/9 - 4. 5/9

-1/6х - 3/6х = 4/9

-4/6х = 4/9

х = 4/9 : (-4/6)

х = 4/9 * (-6/4)

х = -6/9

х = -2/3

3)

5(х - 1,5) = 4. 2/3х - 8. 3/14

5х - 7,5 = 4. 2/3х - 8. 3/14

5х - 4. 2/3х = -8. 3/14 + 7,5

4. 3/3х - 4. 2/3х = -8. 3/14 + 7. 5/10

1/3х = -8. 3/14 + 7. 1/2

1/3х = -8. 3/14 + 7. 7/14

1/3х = -7. 17/14 + 7. 7/14

1/3х = -10/14

х = -10/14 : 1/3

х = -10/14 * 3/1

х = -30/14

х = -15/7

х = -2. 1/7

4)

1. 7/9х - 1. 1/9 = 4. 2/9(1 - х)

1. 7/9х - 1. 1/9 = 4. 2/9 - 4. 2/9х

1. 7/9х + 4. 2/9х = 4. 2/9 + 1. 1/9

5. 9/9х = 5. 3/9

6х = 5. 1/3

6х = 16/3

х = 16/3 : 6

х = 16/3 * 1/6

х = 16/18

х = 8/9

Пошаговое объяснение:

1)4/7*(х - 1) = 2/7 + х

4/7х - 4/7 = 2/7 + х

4/7х - х = 2/7 + 4/7

-3/7х = 6/7

х = 6/7 * (-7/3)

х = -6/3

х = -2

2)4 5/9 - 1/6x = 5*(1 + 0,1x)

4 5/9 - 1/6x = 5 + 0,5x

-1/6х - 0,5х = 5 - 4 5/9

-1/6х - 1/2х = 4/9

-1/6х- 3/6х = 4/9

-4/6х = 4/9

х = 4/9 * (-6/4)

х = -2/3

3) 5(х - 1,5) = 4 2/3х - 8 3/14

5х - 7,5 = 4 2/3х - 8 3/14

5х - 4 2/3х = -8 3/14 +7,5

1/3х = -8 3/14 + 7 1/2

1/3х = - 115/14 + 15/2

1/3х = -115/14 + 105/14

1/3х = -10/14

х = -10/14 * 3

х = -30/14

х = -2 1/7

4) 1 7/9х - 1 1/9 = 4 2/9* (1 - х)

1 7/9х - 1 1/9 = 4 2/9 - 4 2/9х

1 7/9х + 4 2/9х = 4 2/9 + 1 1/9

6х = 5 1/3

6х = 16/3

х = 16/3 * 1/6

х = 8/9