1. The problem is to solve the system of non-linear equations given by the points: $(-1, 2), (1, -2), (1, 1), (3, -1)$ $(-3, 2), (-3, -2), (3, 2), (3, -2)$ $(-1, 2), (-2, -2), (3, 1), (3, -2)$ $(4, 1)$ 2. Since the problem lists points rather than explicit equations, we interpret it as checking which points satisfy a given system or identifying the system from these points. 3. To solve a system of non-linear equations, typically we use substitution, elimination, or graphing methods. However, here we only have points, so we can analyze patterns or test if these points satisfy a known system. 4. Without explicit equations, we cannot solve the system directly. If the system is unknown, we can only verify if these points satisfy a particular system if provided. 5. Please provide the explicit system of equations to solve or clarify the problem statement for further assistance.