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April 21, 2014

April 21, 2014

Posted by **Sowmya Sri** on Sunday, August 21, 2011 at 1:04am.

- MATH -
**santosh**, Sunday, August 21, 2011 at 1:29am3(X+Y=5XY)

3X+2Y=13XY

3X+3Y=15XY ------(1)

3X+2Y=13XY ------(2)

----------

SUBTRACT (1)-(2)

Y=2XY

CANCEL Y ON BOTH SIDES

=> 2X=1

=>X=1/2

FROM EQUATION --(1)

3Y=15XY-3X

3Y=3(5XY-X)

CANCEL 3

Y=5XY-X

=>5XY-Y=X

=>Y(5X-1)=X -----(3)

NOW SUBSTITUTE X IN EQUATION ----(3)

Y(5*(1/2)-1)=1/2

=>Y[(5/2)-1]=1/2

=>Y[2.5-1]=0.5

=>Y[1.5]=0.5

=>Y[3]=1

=>Y=1/3

THEREFORE X=1/2 & Y=1/3

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