If 2x + 5y =8 and 3x = 2y, what is the value of 2x + y? : Problem Solving (PS)

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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

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27% (02:42) wrong

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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) \(40/19\)

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Spoiler: OA

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

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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

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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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

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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?

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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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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

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?

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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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