Answer
$(-2,1)$
Work Step by Step
Here, we have $6y=8+x \implies x=6y-8$
Now, $2(6y-8)+5y=1$
This gives: $12y-16+5y=1 $ or, $y=1$
Thus, $x=6(1)-8=-2$
Solution is: $(x,y)=(-2,1)$
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