How do you solve the following linear system: # y=x-4, x-y=2 #?

1 Answer
Gió
Jan 17, 2016

The system will not have solutions.

Explanation:

The two equations represent parallel lines that will not share a common solution.
You can see this writing them in slope-intercept form #y=mx+c# (isolating #y#):
#{(y=x-4),(y=x-2):}#
As you can see both equations have the same slope #m=1# and different intercepts #-4# and #-2#.

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