### Home > INT2 > Chapter 12 > Lesson 12.2.3 > Problem 12-105

12-105.

Examine the system of equations below. Predict the number of points of intersection of the graph of this system. Homework Help ✎

*x*^{2}+*y*^{2}= 20

(*x*− 6)^{2}+*y*^{2}= 32Solve the system algebraically to determine if your prediction was correct.

If you have not already done so, sketch a graph of the system of equations. Does the graph confirm your answer to part (a)?

To solve algebraically, solve the top equation for *y*^{2} and then substitute.

The circles should intersect twice.