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How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #x+y= 10# and #x-y= -8#?

1 Answer

May 7, 2017

#x=1#

#y=9#

Explanation:

#x+y=10# #(1)#

#x-y=-8# #(2)#

#(1)+(2)#

#2x=2#

#x=1#

#y+1=10#

#y=9#

Now we need to check our values in the second equation:

#1-9=-8=(2)#

We have proven that this system is consistent

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