Since both equations equal Y, set them equal to each other and solve.
3x -1 = -2x +9
Add 2x to each side:
5x - 1 = 9
Add 1 to each side:
5x = 10
Divide both sides by 5:
x = 10/5
x = 2
Now replace x with 2 and solve for y:
y = 3(2) -1 = 6-1 = 5
x = 2, y = 5 (2,5)