**The point of intersection of the two lines is (2,3), therefore the solution is x=2, y=3**

Verify by substituting 2 for x and 3 for y in y=x+1

`3=2+1`

`3=3`

Substitute 2 for x and 3 for y in y=-3x+9

`3=-(3)(2)+9`

`3=-6+9`

`3=3`

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