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How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #2x + 2y = 12# and # x - y = 4#?

1 Answer

Dec 9, 2015

#(x,y) = (5,1)#

Explanation:

Given
[1]#color(white)("XXX")2x+2y=12#
[2]#color(white)("XXX")x-y=4#

Multiply [2] by #2#
[3]#color(white)("XXX")2x-2y=8#

Add [1] and [3]
[4]#color(white)("XXX")4x=20#
Divide both sides by #4#
[5]#color(white)("XXX")x=5#

Subtract [3] from [1]
[6]#color(white)("XXX")4y=4#
Divide both sides by 4
[7]#color(white)("XXX")y=1#

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