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If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?

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If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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New post Updated on: 06 Sep 2015, 04:45
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Question Stats:

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If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?

(a) 4
(b) \(70/19\)
(c) \(64/19\)
(d) \(56/19\)
(e) \(40/19\)
Spoiler: OA

Originally posted by abhi758 on 28 Mar 2010, 09:32.
Last edited by Bunuel on 06 Sep 2015, 04:45, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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New post 28 Mar 2010, 22:50
1
abhi758 wrote:
If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?

(a) 4
(b) \(70/19\)
(c) \(64/19\)
(d) \(56/19\)
(e) \(40/19\)

y = 3x/2
2x + 5*3x/2 = 8
x = 16/19
y = 24/19
2x+y = 32/19 + 24/19 = 56/19 hence D.
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If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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New post 22 Sep 2016, 22:39
Bunuel
Can you provide any alternative way to solve this problem.
Apart from substituting x and y then getting the result.
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Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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New post 28 Aug 2018, 17:09
I keep getting x=16/17

What am I doing wrong?
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Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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New post 28 Aug 2018, 21:38
justgottamakeit1592 wrote:
I keep getting x=16/17

What am I doing wrong?


Hi justgottamakeit1592,
You have to show your solution so that it can be evaluated.
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Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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New post 30 Aug 2018, 07:35
1
Hey guys,

from 3x=2y
x=2y/3 and y=3x/2 and substitute those in the equation (2x+5y=8) to get the value of x and y
after substitution x= 16/19 and y=24/19
and the question ask about 2x+y , 2*(16/19)+24/19= 56/19
Is there any easier and quicker approach?
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y? &nbs [#permalink] 30 Aug 2018, 07:35
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