14 x 7 y = 2 w + 19 The given equation relates the distinct positive real numbers w ,

Question

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 ?

Accepted Answer

Choice C is correct. Dividing each side of the given equation by 2 yields 14 x 14 y = 2 w + 19 2 , or x y = w + 19 . Because it's given that each of the variables is positive, squaring each side of this equation yields the equivalent equation x y 2 = w + 19 . Subtracting 19 from each side of this equation yields x y 2 - 19 = w , or w = x y 2 - 19 . 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.

Question 14-x-7