#### Answer

The required value is $x=2,y=-1$.

#### Work Step by Step

Add both equations to obtain,
$\begin{align}
& x+y+\left( x-y \right)=1+3 \\
& 2x=4 \\
& x=2
\end{align}$
Substitute the value of $x=2$ in the first equation and solve for y as follows:
$\begin{align}
& 2+y=1 \\
& y=-1
\end{align}$
Thus, the value of $x=2$ and $y=-1$.