Graphical Method
When doing the graphical method of solving systems of linear equations in two variables, graph both lines represented by the linear equations of the given system on the same set of axes. Then locate the point of intersection of the two lines, if any.
Solve the following system of linear equations using the graphical method:
The graph of the first equation is a line with an x-intercept equal to 1 and a y-intercept equal to 1.
The line represented by the second equation has an x-intercept equal to –3 and a y-intercept equal to 3. See the figure below.
The two lines intersect at exactly one point that has coordinates The system is consistent and independent, and its solution is
