The two equations 2x−3y=7 and 3x+y=5 are plotted as shown below.

We can see that the two lines intersect at the point (2,−1).
Hence the two linear equations 2x−3y=7 and 3x+y=5 give solution (x,y)=(2,−1)
Therefore, the graphical method is a method that can be used to find the point of intersection between two non-parallel lines.