Quadric surfaces problem please help.

Here is the problem exactly how it is written on my paper...

Consider the surfaces x^2+2y^2-z^2+3x=1 and 2x^2+4y^2-2z^2-5y=0.

a. What is the name of each surface?

b. Find an equation for the plane which contains the intersection of these two surfaces.

That is the question. I got part "a" and I am pretty sure it is right. What I really have no idea how to do is "b". Can someone tell me the answer to this and please explain to me how to do it? Thanks in advance.