Could you help with these three Algebra questions?

Question

1. Solve the following equation.

2/3 x N + 6 = 1/2 x N + 1/4 x N

A) 2

B) 6

C) 14

D) 72

2. Which of the following is the solution set of the given equation?

(x - 3) - 2(x + 6) = -5

A) {-10}

B) {-4}

C) {8}

3. Which of the following is the solution set of the given equation?

14 + 8m = 14 - 3m - 5m

A) Ø

B) {0}

C) {all reals}

Answer 1

1) 2/3 n + 6 = 3/4 n

6 = 1/12 n

n= 72

D

2) x-3 - 2x - 12 = -5

-x - 15 = -5

x = -10

A

3) 14 + 8m = 14 - 8m

8m = -8m

16m = 0

B

Answer 2

2/3 x N + 6 = 1/2 x N + 1/4 x N

common denom :12

2 * 4/12 x N + 6*12 = 1*6/12 x N + 3/12 x N

mult by 12 each term

8n + 72 = 6n +3n

8n +72= 9n

72 = n  ===>D

(x - 3) - 2(x + 6) = -5

x-3-2x-12=-5

-1x -15 = -5

x+15 =5

x = 5-15 = -10 ==>A

14 + 8m = 14 - 3m - 5m

14+8m= 14-8m

8m = -8m

16m =  0

so 0/16 = 0  ==> B