Graphing is one method we can use to solve systems of linear equations. This method involves graphing the two equations on the same coordinate plane and finding the point of intersection. Let's take a look at an example to see how it works:

Example:

Consider the system of equations:

2x + y = 5
x - 3y = -2

To solve this system by graphing, we start by graphing each equation. We plot the points that satisfy each equation and draw a line connecting them.

The point where the two lines intersect is the solution to the system, which in this case is (1, 3). So the solution to the system is x = 1 and y = 3.

Graphing is a useful method for solving systems of linear equations because it allows us to visualize the solution. However, it can be time-consuming, especially with complex systems. Additionally, graphing may not always be accurate due to the limitations of drawing on a coordinate plane. It is important to keep these factors in mind and consider other solution methods when appropriate.

Remember, practice makes perfect! Keep solving systems of linear equations by graphing, and soon it will become second nature to you. You've got this!