Question the-fu

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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The function f is defined by fx=97x+87. For what value of x does fx=5?

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The function f is defined by f x = 9 7 x + 8 7 .

Hard-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 3 . Substituting 5 for fx in the given function yields 5=97x+87. Multiplying each side of this equation by 7 yields 75=797x+87, or 35=9x+8. Subtracting 8 from each side of this equation yields 27=9x. Dividing each side of this equation by 9 yields 3=x. Therefore, fx=5 when the value of x is 3 .