It has already been mentioned that another way to determine the solution to a two-variable system of linear equations is to use the graphical method.[br] It is known that the graph of the equations of ax+by=c and px+qy=r is described as follows

The points that lie on the line ax + by = c are the solutions to the system of linear equations ax + by = c. Likewise the points that lie on the line px + qy = r. Then which points are the solutions to the system of linear equations ax + by = c and px + qy = r? Of course the points are the solutions to both equations. In this case, it is the point where the two lines intersect, which is A(X[sub]0[/sub],Y[sub]0[/sub]). Thus it can be concluded that:[br]In the graphical method, the solution to a two-variable system of linear equations is the point where the lines of the linear equations intersect.

[b]The steps for solving using the graphical method are as follows:[/b][br]1. Draw the line graphs ax + by = p and px + qy = r on a Cartesian coordinate system. In this step, we must determine the point of intersection of the X axis and the point of intersection of the Y axis, namely the point of intersection of the X axis when y = 0 and the point of intersection of the Y axis when x = 0. Then, the relationship between the two points of intersection is obtained so that the equation line is obtained.[br]2. Determine the coordinates of the intersection of the two lines ax + by = p and px + qy = r (if any).[br]3. Write down the solution set