Procedure — To Solve a Linear System of Equations By Graphing
Graph each line on the same coordinate axes.
There are three possible outcomes:
The system has exactly one solution.
The solution is the coordinates of the point of intersection.
The system is consistent.
The equations are independent.
The system has no solution because the lines have no points in common.
The system is inconsistent.
The system has infinitely many solutions.
The solutions may be stated by writing one of the equations of the system.
The equations are dependent.