Answer
(-1,1)
Work Step by Step
Find and graph 3 points for each equation.
$\underline{\ x\ \ \ \ \ \ \ \ \ \ \ -x\ \ \ \ \ \ \ \ \ \ \ \ \ y\ \ }$
$-1\ \ \ \ \ \ \ -(-1)\ \ \ \ \ \ 1$
$\ \ \ 0\ \ \ \ \ \ \ \ \ -(0)\ \ \ \ \ \ \ \ \ 0$
$\ \ \ 5\ \ \ \ \ \ \ \ \ -(5)\ \ \ \ \ \ \ \ \ \ \ \ \ \ -5$
$y-x=2$
$y-x+x=2+x$
$y=x+2$
$\underline{\ x\ \ \ \ \ \ \ \ \ \ \ \ x+2\ \ \ \ \ \ \ \ \ \ y}$
$3\ \ \ \ \ \ \ \ \ \ \ \ \ 3+2\ \ \ \ \ \ \ \ \ \ \ 5$
$0\ \ \ \ \ \ \ \ \ \ \ \ \ 0+2\ \ \ \ \ \ \ \ \ \ \ 2$
$-6\ \ \ \ \ \ \ -6+2\ \ \ \ -4$
The lines intersect where x=-1 and y=1.
When $x=-1, -(-1)=1.$
When $x=-1, -1+2=1$$.
