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If (x/3+1,y-2/3)=(5/3,1/3), find the val...

If `(x/3+1,y-2/3)=(5/3,1/3)`, find the values of x and y.

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`((x)/(3)+1,y-(2)/(3))=((5)/(3),(1)/(3))`
`implies (x)/(3)+1=(5)/(3), y-(2)/(3)=(1)/(3)`
`therefore (x)/(3) +1=(5)/(3)implies (x)/(5)=(5)/(3)-1`
`implies (x)/(3)=(2)/(3) implies x=2`
and `y-(2)/(3)=(1)/(3) implies y=(1)/(3)+(2)/(3)implies y=1`
therefore , `x=2, y=1`
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