SOLUTION: Question write a system of linear equations that has no solution my work x+y=8 -x-y=-8

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Question 562838: Question
write a system of linear equations that has no solution

my work
x+y=8
-x-y=-8

Answer by issacodegard(60) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, the system you gave has infinitely many solutions (any choice of x and y works). Here is a system with no solutions,
x+y=8
-x-y=-7
Proof:
Suppose there exists a solution pair, call it x,y. Then the equations are satisfied i.e. x+y=8 and -x-y=-7. Add the equations to get 0=1. But this can't be true, so there is no solution pair to the system by contradiction.