Question

Which of the following equations has a solution of x = -5?

a. Equation A
b. Equation B
c. Both A and B
d. Neither A nor B

Answer 1

Equation A and B have a solution of x= -5

Answer 2

C. Both A & B

Explanation:

Solve the equations given:

Equation A:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 11x and add 7 to both sides:

16x (-11x) - 7 (+7) = 11x (-11x) - 32 (+7)

16x - 11x = -32 + 7

Simplify. Combine like terms:

16x - 11x = -32 + 7

5x = -25

Isolate the variable, x. Divide 5 from both sides:

(5x)/5 = (-25)/5

x = -25/5

x = -5

Equation A is an answer choice.

Equation B:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 10 & subtract 2x from both sides:

-4x (-2x) - 10 (+10) = 2x (-2x) + 20 (+10)

-4x - 2x = 20 + 10

Simplify. Combine like terms:

-4x - 2x = 20 + 10

-6x = 30

Isolate the variable, x. Divide -6 from both sides:

(-6x)/-6 = (30)/-6

x = 30/-6

x = -5

Equation B is also an answer choice.

C. Both A & B is your answer.

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