Hey, my math teacher assigned us this problem:

Find Curve of Intersection of 2y^2 - z^2 = 1 - x^2 - 3x and 2x^2 + 2 - 2x^2 - 6x - 5y = 0

My first thought would probably be set the two equations equal to each other, but I am at a loss at what to do next. Can anyone help?