### Home > CCA2 > Chapter 11 > Lesson 11.1.3 > Problem 11-31

11-31.

Solve the following systems of equations and describe the shapes of the intersections. Homework Help ✎

*z*^{2}=*x*^{2}+*y*^{2}

*z*=*x*+ 2*z*^{2}=*x*^{2}+*y*^{2}

*z*= 7

Substitute the second equation for *z* in the first, and simplify to find an equation of *x* and *y*.

What kind of graph is this?

See part (a).