simple algebra problem

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simple algebra problem

by Gurpinder » Thu Jul 08, 2010 12:11 pm
hey guys,

i dont know what i am doing wrong with this one

if 2x is 12 less than the sum of 6x and 4y, then x+y = ?
____________________________________________________

the eq should be 2x = (6x+4y) - 12 ??? right ???

if i solve for x - shouldnt it equal x = (-4y + 12) / 4

and now i am lost...

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by amising6 » Thu Jul 08, 2010 12:17 pm
Gurpinder wrote:hey guys,

i dont know what i am doing wrong with this one

if 2x is 12 less than the sum of 6x and 4y, then x+y = ?
____________________________________________________

the eq should be 2x = (6x+4y) - 12 ??? right ???

if i solve for x - shouldnt it equal x = (-4y + 12) / 4

and now i am lost...
2x=6x+4y+12
this should be equation
let leave 12 less part we would have 2x=6x+4y
now this 2x is 12 less so this means 6x+4y is 12 more so add 12
solve it now
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by deepak_free » Thu Jul 08, 2010 12:21 pm
You are right

2x = (6x+4y) - 12
which means

6x + 4y - 2x - 12 =0

(6x - 2x) + 4y = 12

4x + 4y = 12

4(x + y) = 12

x+y = 12/4 = 3

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by GMATGuruNY » Thu Jul 08, 2010 12:24 pm
Gurpinder wrote:hey guys,

i dont know what i am doing wrong with this one

if 2x is 12 less than the sum of 6x and 4y, then x+y = ?
____________________________________________________

the eq should be 2x = (6x+4y) - 12 ??? right ???

if i solve for x - shouldnt it equal x = (-4y + 12) / 4

and now i am lost...
When a question asks for the value of weird expression such as x+y, try to solve for the weird expression, not for the individual variables.

Your translation of words into math was perfect:

2x = (6x+4y) - 12

Now let's solve for x+y:

2x = (6x+4y) - 12
0 = 4x + 4y - 12
12 = 4x + 4y
3 = x + y

Success! x +y = 3.
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by Gurpinder » Thu Jul 08, 2010 12:31 pm
thank youuuu deepak and GMATGURU.......i get it.....thx alot