How to solve a really nasty system of nonlinear equations?

Solve the nonlinear system of equations for real solutions?

• I am having a tough time. Please help me with this. Thank you, Mary Lou. x^2 + y^2 = 1 x^2 + (y + 2)^2 = 9 Options: 1 )There is no solution 2) The solution set is { }

• Answer:

  If you graph the two equations, you can see that they are both circles, one of which is the unit circle centered at (0, 0) and the other of which is a circle of radius 3 centered at (0, -2). These two circles intersect at (0, 1) and only at (0, 1). So the solution is x = 0, y = 1. Hope this helps.