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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: 191
If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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Updated on: 28 Dec 2018, 06:45
1
9
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Difficulty:

35% (medium)

Question Stats:

73% (02:16) correct 27% (02:42) wrong based on 377 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) $$40/19$$

Project PS Butler : Question #110

Originally posted by abhi758 on 28 Mar 2010, 09:32.
Last edited by HKD1710 on 28 Dec 2018, 06:45, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 01 Feb 2010
Posts: 215
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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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.
Manager
Joined: 18 Jun 2016
Posts: 92
Location: India
Concentration: Technology, Entrepreneurship
GMAT 1: 700 Q49 V36
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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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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Intern
Joined: 14 Feb 2018
Posts: 18
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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

What am I doing wrong?
VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
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, 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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Intern
Joined: 24 Aug 2017
Posts: 4
GPA: 3.14
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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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
Is there any easier and quicker approach?
VP
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?  [#permalink]

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16 Feb 2019, 12:06
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) $$40/19$$

Multiply 2x +5y = 8, by 3, and 3x=2y by 2

We will get 6x + 15y = 24 & 6x = 4y

19y = 24
y =24/19

x = 16/19

2*x + y = $$\frac{32}{19} + \frac{24}{19}$$

(d) $$\frac{56}{19}$$
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Re: If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y?   [#permalink] 16 Feb 2019, 12:06
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