How do you solve the following system: #-5x − y = 14 , y + 4x = 16 #?

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Answer 1 · 2018-04-17T00:04:00

#x=-30, y=136#

You have to substitute the #y# in one equation for the one in the other equation:

#-5x-y=14#

#y+4x=16 =>y=-4x+16#

So

#-5x-(-4x+16)=14#

#-1x-16=14#

#-1x=30#

#x=-30#

Now you can plug in the #x# you found to either equation to find the #y#.

#-5(-30)-y=14#

#150-y=14#

#y=136#