SOLUTION: Solve the system of equations graphically and classify as consistent or inconsistent. x-y = 4, x-y = 2

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Question 164363This question is from textbook Introduction to College Mathematics
: Solve the system of equations graphically and classify as consistent or inconsistent. x-y = 4, x-y = 2 This question is from textbook Introduction to College Mathematics

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Inconsistent.
(x-y) cannot equal two different values.
That leads to 4=2, which is not true.
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Convert to slope-intercept form and graph.
x-y=4
y=x-4
Slope=1, y-intercept=-4
x-y=2
y=x-2
Slope=1, y-intercept=-2
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+x-4%2C+x-2%29+
Parallels lines that never meet(no solution).