Question 1-7-b-

1.2 Linear Equations in One Variable - Variables on both sides
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17b=11xy

The given equation relates the positive numbers b , x , and y . Which equation correctly expresses x in terms of b and y ?

A.

x=7by11

B.

x = y - 77 b

C.

x = y 77 b

D.

x = 77 b y

1 7 b = 11 x y The given equation relates the positive numbers b ,

Hard-difficulty · SAT Math · Linear Equations in One Variable — Variables on both sides. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. Multiplying each side of the given equation by y yields the equivalent equation y7b=11x. Dividing each side of this equation by 11 yields y77b=x, or x=y77b.

Choice A is incorrect. This equation is not equivalent to the given equation. 

Choice B is incorrect. This equation is not equivalent to the given equation. 

Choice D is incorrect. This equation is not equivalent to the given equation.