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If x and y are integers and
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24 Nov 2021, 10:05
24 Nov 2021, 10:05
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If x and y are integers and \(\frac{(x^2-y^2)}{xy}=2\), what is \(\frac{x}{y}-\frac{y}{x}\)?
(A) 1/2
(B) 2
(C) 6
(D) 8
(E) 12
(A) 1/2
(B) 2
(C) 6
(D) 8
(E) 12
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If x and y are integers and
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24 Nov 2021, 12:30
24 Nov 2021, 12:30
Carcass wrote:
If x and y are integers and \(\frac{(x^2-y^2)}{xy}=2\), what is \(\frac{x}{y}-\frac{y}{x}\)?
(A) 1/2
(B) 2
(C) 6
(D) 8
(E) 12
(A) 1/2
(B) 2
(C) 6
(D) 8
(E) 12
Great question!!!
Since our goal is to find the value of \(\frac{x}{y}-\frac{y}{x}\), and since we are given an equation with an entire fraction, let's first rewrite \(\frac{x}{y}-\frac{y}{x}\) as an entire fraction and see where that leads us.
Take: \(\frac{x}{y}-\frac{y}{x}\)
Rewrite both fractions with the same common denominator: \(\frac{x^2}{xy}-\frac{y^2}{xy}\)
Combine the numerators to get: : \(\frac{x^2 - y^2}{xy}\)
Since it's given that \(\frac{(x^2-y^2)}{xy}=2\), we can conclude the following: \(\frac{x}{y}-\frac{y}{x}=\frac{x^2 - y^2}{xy}=2\)
Answer: B
General Discussion
Re: If x and y are integers and
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04 Jun 2024, 02:11
04 Jun 2024, 02:11
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
