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# If x + y = 6 and 3x – y = 4, then x – y is equal to

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Math Expert
Joined: 02 Sep 2009
Posts: 50670
If x + y = 6 and 3x – y = 4, then x – y is equal to  [#permalink]

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24 Oct 2017, 00:49
00:00

Difficulty:

5% (low)

Question Stats:

92% (01:13) correct 8% (01:03) wrong based on 91 sessions

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If x + y = 6 and 3x – y = 4, then x – y is equal to

(A) –1
(B) 0
(C) 2
(D) 4
(E) 6

_________________
Intern
Joined: 20 Aug 2016
Posts: 49
GMAT 1: 570 Q46 V23
GMAT 2: 610 Q49 V25
GMAT 3: 620 Q45 V31
WE: Information Technology (Other)
Re: If x + y = 6 and 3x – y = 4, then x – y is equal to  [#permalink]

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24 Oct 2017, 01:32
solving the eq we get x=5/2 and y=7/2
implies
x-y = -2/2 = -1

Thanks.
Intern
Joined: 16 Feb 2017
Posts: 7
Concentration: General Management, Social Entrepreneurship
Re: If x + y = 6 and 3x – y = 4, then x – y is equal to  [#permalink]

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24 Oct 2017, 19:03
On solving this equation, we get x=2.5 and y=3.5 . Hence, (x-y)= -1. Ans-A
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: If x + y = 6 and 3x – y = 4, then x – y is equal to  [#permalink]

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26 Oct 2017, 14:50
Bunuel wrote:
If x + y = 6 and 3x – y = 4, then x – y is equal to

(A) –1
(B) 0
(C) 2
(D) 4
(E) 6

Since x + y = 6, then x = 6 - y. Substituting this into the second equation for x, we have:

3(6 - y) - y = 4

18 - 3y - y = 4

-4y = -14

y = 3.5

Thus, x = 6 - 3.5 = 2.5 and x - y = 2.5 - 3.5 = -1.

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Joined: 22 May 2016
Posts: 2115
If x + y = 6 and 3x – y = 4, then x – y is equal to  [#permalink]

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27 Oct 2017, 11:05
Bunuel wrote:
If x + y = 6 and 3x – y = 4, then x – y is equal to

(A) –1
(B) 0
(C) 2
(D) 4
(E) 6

$$x + y = 6$$
$$3x-y = 4$$
-----------------------
$$4x = 10$$
$$x =\frac{10}{4}=\frac{5}{2}$$

$$x + y = 6$$
$$\frac{5}{2} + y = \frac{12}{2}$$
$$y = (\frac{12}{2}-\frac{5}{2}) = \frac{7}{2}$$

$$(x - y)$$
$$(\frac{5}{2}-\frac{7}{2})= -\frac{2}{2}= -1$$

Intern
Joined: 02 Sep 2015
Posts: 37
Location: India
Concentration: General Management, Entrepreneurship
Schools: Sauder 'Dec 18
GPA: 3.79
WE: General Management (Energy and Utilities)
Re: If x + y = 6 and 3x – y = 4, then x – y is equal to  [#permalink]

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28 Oct 2017, 03:45
x +y =6 ... Eq (1)
3x-y =4 ... Eq (2)

we get 4x=10
hence 2x =5

Eq (2) : 3x-y =4
Hence, x-y = 4-2x = 4-5= -1. Answer = A.
Re: If x + y = 6 and 3x – y = 4, then x – y is equal to &nbs [#permalink] 28 Oct 2017, 03:45
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