3x + y = 19 , and x + 3y = 1. Find the value of 2x + 2y A. 20 B. 18 : Problem Solving (PS)

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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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Posts: 61274

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

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13 May 2016, 04:12

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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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13 May 2016, 05:08

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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13 May 2016, 09:25

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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28 Nov 2019, 06:30

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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, 06:30

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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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