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# If 2x + y = 7 and x – y = 2, then x + y = (A) 6

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Senior RC Moderator
Status: GMAT Club Team Member
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Joined: 02 Nov 2016
Posts: 5060
GPA: 3.62
If 2x + y = 7 and x – y = 2, then x + y = (A) 6  [#permalink]

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01 Jan 2020, 04:03
00:00

Difficulty:

15% (low)

Question Stats:

100% (01:09) correct 0% (00:00) wrong based on 20 sessions

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If $$2x + y = 7$$ and $$x – y = 2$$, then $$x + y =?$$

(A) 6

(B) 4

(C) $$\frac{3}{2}$$

(D) 0

(E) –5

Source: Master GMAT

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Joined: 24 Sep 2019
Posts: 87
Re: If 2x + y = 7 and x – y = 2, then x + y = (A) 6  [#permalink]

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01 Jan 2020, 17:37
2x+y=7
7-2x=y
x-y=2x-(7-2x)=2
3x-7=2
3x=9
x=3
y=7-2(3)=1
3+1=4
Ans=B
Intern
Joined: 28 Jan 2017
Posts: 26
Re: If 2x + y = 7 and x – y = 2, then x + y = (A) 6  [#permalink]

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01 Jan 2020, 18:20
2x + y =7
x – y = 2 --> x = y + 2

Substitute into first equation
2 (y + 2) + y = 7
2y + 4 + y = 7
3y = 3
y =1

Substitute
x = 1 + 2 = 3

x + y = 3 + 1 = 4 (B)
Re: If 2x + y = 7 and x – y = 2, then x + y = (A) 6   [#permalink] 01 Jan 2020, 18:20
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