Answer :
Substitute -x+3 for the y in the first equation so it reads -x+3=2x-3 then solve for x getting x=2. thats your x coordinate for the point of intersection. Then choose either equation and plug in 2 for x and solve. Thats your y coordinate, which is 1. So the point of intersection is (2,1).
[tex]y=2x-3\\
y=-x+3\\\\
2x-3=-x+3\\
3x=6\\
x=2\\\\
y=-2+3\\
y=1\\\\
\text{They intersect at the point }(2,1)[/tex]
