To solve a system of two equations by graphing, follow these steps:
First, graph each equation on the same coordinate plane.
Next, find the coordinates of all the points at which the two lines intersect on the graph, if any.
If the lines only intersect at one point, then that point is the only solution.
If the lines are not overlapping and are parallel to one another, then no solutions exist for this system of equations.
If the lines coincide, or are completely on top of each other, then there are an infinite amount of solutions that exist for this system of two equations.