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If y[(3x-5)/2] = (OG2016)

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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25 Apr 2016
Posted:
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If y[(3x-5)/2] = (OG2016)

Post Fri May 06, 2016 12:32 pm
If y[(3x-5)/2] = y and y does not equal 0, then x =

A) 2/3
B) 5/3
C) 7/3
D) 1
E) 4

OA: C

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Top Reply
Post Fri May 06, 2016 12:51 pm
boomgoesthegmat wrote:
If y[(3x-5)/2] = y and y does not equal 0, then x =

A) 2/3
B) 5/3
C) 7/3
D) 1
E) 4
We can apply a technique I call the Something Method

Given: y[(3x-5)/2] = y
We have y(something) = y, so that something must equal 1
That is, (3x-5)/2 = 1

If the fraction equals 1, then: 3x - 5 = 2
Add 5 to both sides to get: 3x = 7
Solve: x = 7/3

Answer: C

For more on the Something Method, watch this video: https://www.gmatprepnow.com/module/gmat-algebra-and-equation-solving/video/988

For extra practice, try this question: https://www.gmatprepnow.com/module/gmat-algebra-and-equation-solving/video/989

Cheers,
Brent

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