Homework help.?

Question

i need help with 6,8,9,10

Answer 1

(6).

The equation is [7(m - 2)]/2 = 7 and solve for m.

Multiply each side by (2/7).

[7(m - 2)]/2 * (2/7) = 7 * (2/7)

m - 2 = 2

Add 2 to each side.

m - 2 + 2 = 2 + 2

m = 4.

Substitute m = 4 in the expression 3m + 5.

3m + 5 = 3(4) + 5

              = 12 + 5

              = 17.

The value of 3m + 5 = 17.

Answer 2

(8).

The equation is 3(x - 4) + 5x - 7 = - 43 and solve for x.

Apply distributive property : a(b - c) = ab - ac.

3(x) - 3(4) + 5x - 7 = - 43

3x - 12 + 5x - 7 = - 43

Group like terms.

(3x + 5x) + (- 12 - 7) = - 43

Combine like terms.

8x - 19 = - 43

Add 19 to each side.

8x - 19 + 19 = - 43 + 19

8x = - 24

Divide each side by 8.

8x/8 = - 24/8

x = - 3

The value of x = - 3.

Answer 3

(9).

The equation is 7 - 4(2 - 3x) + 8x = - 81 and solve for x.

Apply distributive property : a(b - c) = ab - ac.

7 - 4(2) - (- 4)(3x) + 8x = - 81

7 - 8 + 12x + 8x = - 81

Group like terms.

(7 - 8) + (12x + 8x) = - 81

Combine like terms.

- 1 + 20x = - 81

Add 1 to each side.

- 1 + 20x + 1 = - 81 + 1

20x = - 80

Divide each side by 20.

20x/20 = - 80/20

x = - 4

The value of x = - 4.

Answer 4

(10).

The equation is 18x - 3(4x - 1) + 8 = 65 and solve for x.

Apply distributive property : a(b - c) = ab - ac.

18x - 3(4x) - (- 3)(1) + 8 = 65

18x - 12x + 3 + 8 = 65

Group like terms.

(18x - 12x) + (3 + 8) = 65

Combine like terms.

6x + 11 = 65

Subtract 11 from each side.

6x + 11 - 11 = 65 - 11

6x = 54

Divide each side by 6.

6x/6 = 54/6

x = 9

The value of x = 9.