Find the co-ordinates of the point of intersection of the perpendicular bisector of BC and the median from C.

From a) and b) i have the equations...

y = 2x-5 (perp bisector BC)

y = -3x+10 (median C)

I done simultaneous equations but got y=5 and x=5, the answer says the point should be (3,1).

Both equations are correct but i dont know how you get the answer from there, anyone know how to do it?

Thanks x