Why can you not use the graphical method for every system of equations?

The graphical method cannot be used for every system of equations because it is limited by the number of dimensions we can visually represent. While it's effective for two-variable systems, higher-dimensional systems become difficult or impossible to visualize accurately. Additionally, when dealing with systems that have no solution or infinitely many solutions, the graphical representation may not convey the full nature of the solution set. Lastly, precision in finding exact solutions can be compromised in graphical methods compared to algebraic approaches.