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(x y) = x y

2022-05-12T10:42:41-07:00

−(x − y) = x − y [quantity](x)(y)[/quantity] A. Quantity A is greater B. Quantity B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given [textarea][b]Part of the project:[/b] [url=https://gre.myprepclub.com/forum/gre-quantitative-comparison-problem-solving-challenge-28296.html][b][color=#005826]GRE Quantitative Comparison & Problem Solving Challenge[/color][/b][/url] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ [url=https://gre.myprepclub.com/forum/gre-math-essentials-for-a-top-quant-score-q170-24951.html#p81626][b]GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)[/b][/url] [url=https://gre.myprepclub.com/forum/gre-geometry-formulas-for-a-q170-25049.html][b]GRE Geometry Formulas for a Q170[/b][/url] [url=https://gre.myprepclub.com/forum/gre-math-book-for-the-gre-exam-2609.html][b]GRE - Math Book[/b][/url][/textarea]

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Carcass

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(x y) = x y [#permalink]

12 May 2022, 09:42

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Question Stats:

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−(x − y) = x − y

Quantity A	Quantity B
x	y

A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book

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Official Answer

C

hamsterdance

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Re: (x y) = x y [#permalink]

14 May 2022, 10:18

1

If you distribute the negative sign on the left side of the equation, you get -x + y = x - y.

Moving the y on the right over to the left, you get -x + 2y = x.

Moving the negative x on the left over to the right, you get 2y = 2x.

Dividing both sides by 2, you get y = x.

Therefore, the answer is choice C - the two quantities are equal.