### 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.

Solve the system algebraically to determine if your prediction was correct.

To solve algebraically, solve the top equation for

and then substitute.

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

The circles should intersect twice.