Have no idea how to solve this problem.

Problem:

Parameterize the curve of the intersection of the surfaces $\displaystyle x^2+y^2=9$ and z=x+2y the point (3,0,3) should correspond to the point t=0.

The first equation is a circle of radius 3. So I know that paramterization should be

x=3sin(t*pi)

y=3cos(t*pi)

No idea how to solve for the intersection of the two though.