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I graphed the equations and the solution would be (3,3) because both lines intercept at that point.
sophyyyy
y=-x+6(1)
y=2x-3(2)
Put (1) into (2)
-x+6=2x-3
6+3=2x+x
9=3x
x=3
Put x=3 into (2)
y=2(3)-3
=6-3
=3
So x=3,y=3

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good job