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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Medium

17b=11xy

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

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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.