Question

Which statement is true about the solutions for the equation 4y + 6 = −2? (5 points) Hint: If you are solving for ONE variable, how many solutions will you have? a It has infinitely many solutions. b It has two solutions. c It has one solution. d It has no solution.

Answer 1

Answer: C) has one solution

That solution is y = -2

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Work Shown:

4y + 6 = -2

4y = -2-6

4y = -8

y = -8/4

y = -2

I first subtracted 6 from both sides (step 2), then I divided both sides by 4 (in step 4) to fully isolate y. We get one solution here.

Check:

4y + 6 = -2

4(-2) + 6 = -2

-8+6 = -2

-2 = -2

The solution is confirmed.

Answer 2

Answer: C) It has one solution

Step-by-Step Proof:

4y + 6 = -2
4y = -2 - 6
4y = -8
y = -8/4
=> y = -2

Therefore, y = -2