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3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y A. 20 B. 18

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3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y A. 20 B. 18  [#permalink]

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New post 13 May 2016, 05:12
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (01:24) correct 7% (01:15) wrong based on 109 sessions

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3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y

A. 20
B. 18
C. 11
D. 10
E. 5
Spoiler: OA

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Re: 3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y A. 20 B. 18  [#permalink]

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New post 13 May 2016, 06:08
Line up equations and solve as linear by multiplying either of them by 3:

3x+y = 9 X 3
3x+3y=1
............
Subtracing we get 8x =56 hence x=7. substituting we get y= -2. Hence 2x + 2y = 2(7) +2(-2) = 14-4 = 10. Answer is D
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Re: 3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y A. 20 B. 18  [#permalink]

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New post 13 May 2016, 10:25
2
Bunuel wrote:
3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y

A. 20
B. 18
C. 11
D. 10
E. 5


Quote:
3x + y = 19 , and x + 3y = 1


Add these two equations

4x + 4y = 20

Divide by 2 ( to Get 2x + 2y)

Answer will be D. 10
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Re: 3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y A. 20 B. 18  [#permalink]

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New post 28 Nov 2019, 07:30
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Re: 3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y A. 20 B. 18   [#permalink] 28 Nov 2019, 07:30
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