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If (x + y)/(xy) = 1, then y =

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by Jay@ManhattanReview » Thu Aug 30, 2018 9:06 pm
BTGmoderatorDC wrote:If (x + y)/(xy) = 1, then y =

(A) x/(x - 1)
(B) x/(x + 1)
(C) (x - 1)/x
(D) (x + 1)/x
(E) x

OA A

Source: Official Guide
We have (x + y)/(xy) = 1

=> x + y = xy

x = xy - y

x = y(x - 1)

y = x/(x - 1)

The correct answer: A

Hope this helps!

-Jay
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by Scott@TargetTestPrep » Tue Sep 11, 2018 4:25 pm
BTGmoderatorDC wrote:If (x + y)/(xy) = 1, then y =

(A) x/(x - 1)
(B) x/(x + 1)
(C) (x - 1)/x
(D) (x + 1)/x
(E) x
We can simplify the given equation:

(x + y)/(xy) = 1

x + y = xy

x = xy - y

x = y(x - 1)

x/(x - 1) = y

Answer: A

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