### Home > A2C > Chapter 11 > Lesson 11.3.3 > Problem11-159

11-159.

Solve the system of equations below both graphically and algebraically.

$x^{2} + y^{2} = 25\\ y = x^{2} − 36$

Note that based on the graph there will be no real solutions.

Substitute for $x^{2}$ in the first equation and solve for $y$.