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If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 52905
If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible  [#permalink]

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New post 06 Feb 2019, 02:43
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (02:29) correct 35% (02:02) wrong based on 20 sessions

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VP
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P
Joined: 31 Oct 2013
Posts: 1116
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible  [#permalink]

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New post 06 Feb 2019, 02:49
Bunuel wrote:
If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible value of y ?

A. -8
B. -5
C. -3/2
D. 3/2
E. 5


nice question.

x + 2y = 2

(x + y)^2 = 9

x + y = 3 or -3.

...........

x + 2y = 2
x + y = -3
..................................deduct second from the first.
y = 5.

E is the correct answer.

**** anyone can form equation considering x + y =3. but we are looking for possible value . need to consider both aspects.
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Joined: 09 Mar 2018
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If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible  [#permalink]

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New post 06 Feb 2019, 21:53
Bunuel wrote:
If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible value of y ?

A. -8
B. -5
C. -3/2
D. 3/2
E. 5


Out of the 3 ways which i thought of solving this question, inline is the easiest

(x + y)^2 = 9, can be written as x+ y = 3 or x+y =-3

(a)
x+2y = 2
x+y = 3

(b)
x+2y = 2
x+y =-3

b when solved gives us answer as E.
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If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible   [#permalink] 06 Feb 2019, 21:53
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If x + 2y = 2 and (x + y)^2 = 9, which of the following is a possible

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