Question 114618
9x + 2y = 2
3x + 5y = 5

Start by multiplying the bottom by -3 (the top stays as is):

 9x + 2y = 2
-9x - 15y = -15

Combine (x's cancel):

-13y = -13
   y = 1

Plug 1 for y in either equation and solve for x.
3x + 5(1) = 5
3x + 5 = 5
3x = 0
x = 0

Point of intersection = (0,1)