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Math Expert V
Joined: 02 Sep 2009
Posts: 57155
If 7x- 4y = -1 and 5x + 3y = 52, then x-y=  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 70% (02:14) correct 30% (02:45) wrong based on 23 sessions

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If 7x- 4y = -1 and 5x + 3y = 52, then x-y=

(A) -4

(B) -3

(C) 1

(D) 4

(E) 5

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Manager  G
Joined: 19 Apr 2017
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Re: If 7x- 4y = -1 and 5x + 3y = 52, then x-y=  [#permalink]

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If 7x- 4y = -1 and 5x + 3y = 52, then x-y=

[7x- 4y = -1]x3 => 21x-12y=-3
[5x + 3y = 52]x4 => 20x+12y=208

Adding both the equation
41x=205
x=5 => to find y... replace x=5 in one of the equations

[5x + 3y = 52]
3y=52-25=27
y=9

x-y=5-9=-4 = Answer A
Target Test Prep Representative D
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Re: If 7x- 4y = -1 and 5x + 3y = 52, then x-y=  [#permalink]

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Bunuel wrote:
If 7x- 4y = -1 and 5x + 3y = 52, then x-y=

(A) -4

(B) -3

(C) 1

(D) 4

(E) 5

Multiply the first equation by 3 to obtain 21x - 12y = -3. Similarly, multiply the second equation by 4 to obtain 20x + 12y = 208. Now add the two new equations to get:

41x = 205

x = 5

Substituting 5 for x in 5x + 3y = 52, we have:

25 + 3y = 52

3y = 27

y = 9

Therefore, x - y = 5 - 9 = -4.

Answer: A
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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If 7x- 4y = -1 and 5x + 3y = 52, then x-y=   [#permalink] 11 Aug 2019, 19:22
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# If 7x- 4y = -1 and 5x + 3y = 52, then x-y=

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