Answer
$(x,y)=(3,4)$; a unique solution
Work Step by Step
Since, we have two equations $2x-y=2$ and $x+2y=11$, we have
From the given two equations, we have $y=2x-2$
Plug the value of y in $2x-y=2$ ,then
$2x-(2x-2)=2$
or, $x+4x=11+4$
or, $5x=15$
or, $x=3$
Now, $y=2x-2=2(3)-2=4$
Thus, $(x,y)=(3,4)$; a unique solution