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Equation Problem

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Equation Problem

by gmat009 » Tue Oct 07, 2008 3:14 pm
The operation ○ is defined by the equation x ○ y = (x-y)/(x+y), where y ≠ -x. If 3 ○ y = 5 ○ 4, then y =

A.1/9
B.4/15
C.5/12
D.12/5
E.15/4

OA is D. Plz. explain
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by cramya » Tue Oct 07, 2008 3:22 pm
Uisng @ as the symbol

Given x@y = x-y / x+y

3@y = 3 - y /3+y where x= 3 and y=y

5@4 = 5-4/5+4 = 1/9 where x=5 y =4

Therefore 3-y/3+y = 1/9
Cross Multiply

y+3 = 27-9y
y= 12/5

D)
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