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

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Answer 1 · 2016-10-22T06:07:42

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

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.

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