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

1 Answer
Lil Del
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.

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