The Graphical Method is a visual approach used to solve mathematical problems, particularly in linear programming and systems of equations. It involves plotting equations on a graph to find their intersection points, which represent the solutions. This method is especially useful for two-variable problems, as it allows for a clear visual representation of constraints and objectives. In this method, each equation is represented as a line on a coordinate plane. The feasible region, where all constraints overlap, is identified, and the optimal solution can be determined by evaluating the objective function at the vertices of this region. This technique is commonly used in fields like economics, engineering, and operations research.