just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :
2x + 1 = 3x - 1
Add both sides 1
2x + 1 +1 = 3x - 1 +1
2x + 2 = 3x
Subtract both sides 2x
2x -2x+ 2 = 3x -2x
x = 2
( This is the x-coordinate of intersection point )
_________________________________
Now to find the y-coordinate of the intersection point we have to put the value of xwe found in of the equations :