Question 54-w-6

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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-54w=6

What is the solution to the given equation?

Enter your answer:

- 54 w = 6 What is the solution to the given equation?

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is -9 . Since w is in the denominator of a fraction in the given equation, w can't be equal to 0 . Since w isn't equal to 0 , multiplying both sides of the given equation by w yields an equivalent equation, -54 = 6 w . Dividing both sides of this equation by 6 yields -9 = w . Therefore, -9 is the solution to the given equation.