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# If 2x + y = –31, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 52285
If 2x + y = –31, what is the value of x?  [#permalink]

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14 May 2017, 11:02
00:00

Difficulty:

35% (medium)

Question Stats:

79% (01:30) correct 21% (00:57) wrong based on 29 sessions

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If 2x + y = –31, what is the value of x?

(1) (y − 2)(y − 2) − 4 = 0

(2) y = 2

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Current Student
Joined: 27 May 2014
Posts: 525
GMAT 1: 730 Q49 V41
Re: If 2x + y = –31, what is the value of x?  [#permalink]

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14 May 2017, 13:14
2x + y = –31, x = ?

(1) (y − 2)(y − 2) − 4 = 0
=> y^2 - 4 - 4 = 0
=>y^2 = 8
=> y = ±2√2

So, either x = (-31 + 2√2)/2 or x = (-31 - 2√2)/2;
Hence, Insufficient.

(2) y = 2; Sufficient.
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Posts: 51
Re: If 2x + y = –31, what is the value of x?  [#permalink]

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15 May 2017, 09:30
(y-2)(y-2)-4=0
Y^2-4y+4-4=0
Y(y-4)=0
So either y=0 or 4
Hence insufficient
Y=2
Clearly sufficient
Hence B

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
SVP
Joined: 26 Mar 2013
Posts: 2002
Re: If 2x + y = –31, what is the value of x?  [#permalink]

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15 May 2017, 12:52
saswata4s wrote:
2x + y = –31, x = ?

(1) (y − 2)(y − 2) − 4 = 0
=> y^2 - 4 - 4 = 0
=>y^2 = 8
=> y = ±2√2
.

Although you get answer right, statement one has a problem. You deal with as difference of squares while it is not. You are right if it is (y − 2)(y + 2).
SVP
Joined: 26 Mar 2013
Posts: 2002
Re: If 2x + y = –31, what is the value of x?  [#permalink]

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15 May 2017, 12:55
If 2x + y = –31, what is the value of x?

(1) (y − 2)(y − 2) − 4 = 0

(y-2)^2 = 4

y-2 = +/- 2

y= 4 or y =0

Therefore, x has 2 answers

Insufficient

(2) y = 2

Apply in equation in prompt..........x has one answer

Sufficient

Re: If 2x + y = –31, what is the value of x? &nbs [#permalink] 15 May 2017, 12:55
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# If 2x + y = –31, what is the value of x?

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