Answer
Answers may vary. One system of equations is
$x+y=0$
$x+y=5$
Work Step by Step
Green line: $x+y=0$
Purple line: $x+y=5$
$x+y=0$
$y=-x$
$x+y=5$
$y=-x+5$
The two lines have the same slope, so they are parallel (and will never intersect).