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

v=-w150x

The given equation relates the distinct positive numbers v , w , and x . Which equation correctly expresses w in terms of v and x ?

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Explanation

Choice A is correct. It’s given that x is positive. Therefore, multiplying each side of the given equation by - 150 x yields -150xv=w, which is equivalent to w = - 150 v x . Thus, the equation w = - 150 v x correctly expresses w in terms of v and x .

Choice B is incorrect. This equation is equivalent to v = - w x 150 .

Choice C is incorrect. This equation is equivalent to v = - x 150 w .

Choice D is incorrect. This equation is equivalent to v = w - 150 x .