Question

Is x = -4 a solution to these equations? Show your work and write YES or NO.

1. 3(2x-4) = -36
2. 5x - 6x - x = 18
3. 5 - 2(3x - 1) = 31

Answer 1

1. Yes

2. No

3. Yes

Explanation:

We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.

To solve we need to substitute the x in every equation for -4. Start :

1.

3(2(-4) - 4) = -36

3(-8 - 4) = -36

-24 - 12 = -36

Therefore -4 is a solution.

2.

5(-4) - 6(-4) - (-4) = 18

-20 + 24 + 4 = 18

4 + 4 = 18

8 ≠ 18

Therefore -4 is not a solution.

3.

5 - 2(3(-4) - 1) = 31

5 - 2(-12 - 1) = 31

5 - 2(-13) = 31

5 + 26 = 31

Therefore -4 is a solution.