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

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Director
Joined: 12 Jun 2006
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If 2x + 5y = 8 and 3x = 2y, what is the value of 2x + y?  [#permalink]  21 Aug 2007, 20:23
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If 2x + 5y = 8 and 3x = 2y, what is the value of 2x + y?

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Manager
Joined: 18 Jun 2007
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Ok. Here is how

All I did was substitute the value of use algebric equations to solve..

I tried to see if there was any simpler method.But couldnt see anything that obviously clicked..

So..
3x = 2y
x = 2y/3

Substitute this in the main equation and you will solve for x and y..

then 2X + Y becomes easy.
Director
Joined: 12 Jun 2006
Posts: 534
Followers: 1

Kudos [?]: 34 [0], given: 1

Sumithra Sen wrote:
Ok. Here is how

All I did was substitute the value of use algebric equations to solve..

I tried to see if there was any simpler method.But couldnt see anything that obviously clicked..

So..
3x = 2y
x = 2y/3

Substitute this in the main equation and you will solve for x and y..

then 2X + Y becomes easy.
Yeah, I was hoping that someone had a quicker method than that. Thanks for the response.
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