2x + 3y = 10
y = -x + 3 (plug -x+3 for y in the first equation because -x+3=y)
2x+3(-x+3)=10
2x+(-3x)+9=10
-x=1
x=-1
To find y, plug in -1 for x into any of the equations. I will pick the second equation because it is easier.
y = -(-1) + 3
y=4
answer: x=-1, y=4, intersection point: (-1,4)
