Graphing is a great way to solve systems of linear equations. Let’s break it down:

1. Plotting Lines:
   Each linear equation can be shown as a line on a graph.
   For example, you can plot equations like ( y = 2x + 3 ) and ( y = -x + 1 ) on a graph.

2. Finding the Intersection:
   The solution to the system happens where the two lines cross.
   This point shows the values of ( x ) and ( y ) that work for both equations at the same time.

3. Types of Solutions:

   • One Solution: The lines cross at one point. This means the equations are consistent.
   • No Solution: The lines are parallel and never meet. This means the equations are inconsistent.
   • Infinitely Many Solutions: The lines are on top of each other. This means the equations are dependent.

Understanding these ideas helps you analyze linear systems in a clear way.