How do you solve the system $y=-x, y=-x-4$ ?

Question

1005 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-15T01:04:59

There are no "solutions"; the pair of equations represent two parallel lines.

If both $y=-x$ and $y=-x-4$ were true for some values of $x$ and $y$
then
$y+x$ would have to be equal to both $0$ and $-4$ for those values.

How do you solve the system y=-x, y=-x-4y=-x, y=-x-4?