Question 95007
There is a few ways to solve this. We can use the addition method instead of substitution because your equations are lined up for it.

{{{ y-x=5 }}}
{{{ y+x=-1 }}} Because we're going to solve by addition, I reversed the x and y values in your original equation.

Now add downward.

The x values cancel out leaving.
{{{ 2y=4}}}
{{{ y=2}}}

Now plugin our solved y value to the original equation {{{ y-x=5 }}} and solve.
{{{ 2-x=5 }}}
{{{ -x=3 }}}
{{{ x=-3 }}}

This gives you the ordered pair (-3,2)

Check by plugging the values into either equation.
{{{ y-x=5 }}}
{{{ 2-(-3)=5 }}}
{{{ 5=5}}}