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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: 28 Dec 2018, 06:45
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D
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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) \(40/19\)

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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.
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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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Re: 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?
VP
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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?
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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 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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