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

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Manager
Joined: 16 Jul 2009
Posts: 204
If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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Updated on: 06 Sep 2015, 03:45
1
3
00:00

Difficulty:

35% (medium)

Question Stats:

74% (02:13) correct 26% (02:43) wrong based on 364 sessions

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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) $$40/19$$

Originally posted by abhi758 on 28 Mar 2010, 08:32.
Last edited by Bunuel on 06 Sep 2015, 03:45, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 01 Feb 2010
Posts: 234
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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28 Mar 2010, 21:50
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.
Manager
Joined: 18 Jun 2016
Posts: 95
Location: India
Concentration: Technology, Entrepreneurship
GMAT 1: 700 Q49 V36
If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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22 Sep 2016, 21:39
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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If my post was helpful, feel free to give kudos!

Intern
Joined: 14 Feb 2018
Posts: 7
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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

What am I doing wrong?
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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28 Aug 2018, 20:38
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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Regards,

PKN

Rise above the storm, you will find the sunshine

Intern
Joined: 24 Aug 2017
Posts: 1
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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30 Aug 2018, 06:35
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
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, 06:35
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