Graphing is really helpful when you're working with systems of linear equations! Here’s how it can make things easier:

1. Visual Representation: When you graph the lines, you can see where they cross. That crossing point, which we call $(x,y)$, is the solution that works for both equations.

2. Understanding Relationships: The graph helps you understand how the equations connect with each other. You can tell if they are:

   • Parallel (which means there’s no solution),
   • The same line (which means there are endless solutions), or
   • Intersecting (which means there’s just one solution).

3. Check Work: After you solve the equations using methods like substitution or elimination, you can graph them to double-check your answers. It feels great to see everything make sense visually!