# What best describes the relationship between the lines with equations y+ 6 = -x and y+x = -6 ?

Oct 22, 2016

The two equations represent the same line, or a system with infinitely many solutions.

#### Explanation:

Using inverse operations, we can transform the first equation into the second.

$y + 6 = - x$
$y + x + 6 = - x + x$
$y + x + 6 = 0$
$y + x + 6 - 6 = 0 - 6$
$y + x = - 6$

Therefore, the two equations represent the same line, or a system with infinitely many solutions.