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

b - 72 = x y

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 D is correct. Multiplying both sides of the given equation by y yields y(b-72)=x. Distributing on the left-hand side of this equation yields by-72y=x, or x=by-72y. Therefore, the equation x=by-72y correctly expresses x in terms of b and y.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.