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(14 x)/(7 y) = 2 w + 19 The given equation relates the distinct positive real numbers w, x, and y. Which equation correctly expresses w in terms of x and y? f
Correct answer: C (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice C is correct. Dividing each side of the given equation by 2 yields + 14x=2 w 19 x = + , or w 19. Because it’s given that each of the variables is 14y 2 y positive, squaring each side of this equation yields the equivalent equation ( )2 ( )2 x = + x - = w 19. Subtracting 19 from each side of this equation yields 19 w, y ( )2 y x= - or w 19. y Choice A is incorrect. This equation isn’t equivalent to the given equation. Choice B is incorrect. This equation isn’t equivalent to the given equation. Choice D is incorrect. This equation isn’t equivalent to the given equation.
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