title: Solving Linear Equations with One Variable

This problem involves solving a system of nonlinear equations, which can be quite challenging. It requires finding the values of the variables that satisfy both equations simultaneously. Nonlinear systems often have multiple solutions or no solution at all, making them more complex than linear systems.

Question:

Solve the following system of equations for $x$ and $y$:

x2+y2=25x^2 + y^2 = 25

x2y=7x^2 – y = 7

x^2 – y = 7