How do you solve the system of equations #x+ 7y = - 47# and #- 6x + 6y = - 54#?

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Answer 1 · 2017-06-03T10:16:36

#x=2, y=-7#

First, let's simplify the second equation #-6x+6y=-54#
Let's divide the entire equation by 6.

#-x+y=-9#
#x+7y=-47#

You may have noticed that we have #-x#, and #x#. By adding them together, we can eliminate #x#.

#8y=-56#

Divide by #8#.

#y=-7#

Substitute #y=-7# into either of the equations. I'll just substitute it in the first one because the numbers look easier.

#-x-7=-9#

#-x=-2#

#x=2#