Educator

Graphing Systems of Equations

• A system of equations is two equations in two variables. A solution consists of values for each unknown that satisfy both equations.

• A system can have one, infinite, or no solutions.

• The system is called independent if it has one solution. In this case, the graphs of the two equations intersect at one point.

• It is called dependent if it has infinitely many solutions. In this case, the graphs are the same line.

• It is called inconsistent if it has no solution. In this case, the graphs are parallel.

• You can solve a system by graphing. Always check your solutions to be sure you have read the graph accurately.

• Use the method of graphing when you are willing to settle for an estimate for the solution.