Answer
$x=1; y=1$
Work Step by Step
We need to solve for $x$ by subtracting $y$ from both sides.
$x=2-y$
Now, plug the value of $x$ into the second equation.
$(2-y)-y=0 \implies -2y=-2$
and $y=1$
We will plug the value of $y$ into the first equation, giving:
$x+1=2 \implies x=1$
Thus, $x=1; y=1$