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If x – y = 4 and 2x + y = 5, what is the value of x?

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GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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If x – y = 4 and 2x + y = 5, what is the value of x? [#permalink] New post 23 Jun 2018, 11:46
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If \(x - y = 4\) and \(2x + y = 5\), what is the value of x?

[Reveal] Spoiler: OA
3

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Sandy
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Joined: 20 Apr 2016
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Re: If x – y = 4 and 2x + y = 5, what is the value of x? [#permalink] New post 01 Jul 2018, 21:43
sandy wrote:
If \(x - y = 4\) and \(2x + y = 5\), what is the value of x?

[Reveal] Spoiler: OA
3


Here,

simply add the two equation i. e

\(2x + y = 5\)

\(x - y = 4\)
(+)_____________________

\(3x = 9\)

or \(x = 3\)
_________________

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GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1741 [0], given: 397

Re: If x – y = 4 and 2x + y = 5, what is the value of x? [#permalink] New post 16 Jul 2018, 07:01
Expert's post
Explanation

Notice that the first equation has the term –y while the second equation has the term +y.

While it is possible to use the substitution method, summing the equations together will make –y and y cancel, so this is the easiest way to solve for x.

x – y = 4

2x + y = 5

Adding the equations above

3x = 9
x = 3
_________________

Sandy
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Re: If x – y = 4 and 2x + y = 5, what is the value of x?   [#permalink] 16 Jul 2018, 07:01
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If x – y = 4 and 2x + y = 5, what is the value of x?

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