How do you solve the system of equations #y=x-3# and #x-y=8#?

1 Answer
shr
Oct 30, 2016

No solution, they are parallel lines.

Explanation:

#y = x-3# #(1)#
#x-y=8# #(2)#

Substitute #(1)# into #(2)#:
#x-(x-3) = 8#
#3 = 8#

Yes you may be surprised about the answer but since the #x# terms cancel out, it means that there is no point of intersection of solution. Also you may have noticed that the slopes of the lines are the same, which is simply #1#, thus they are parallel lines are never meet, thereby leaving no solution as the answer.

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