Solving systems of equations by graphing

**Solving systems of equations by graphi****ng** is one method to find the point that is a solution to both original equations.

With this method you first sketch the lines representing the two equations. Then you try to determine whether the two lines intesect at a point. That is:

1. Graph both equations, obtaining two straight lines.

2. The simultaneous solution is given by the coordinates (x,y) of the point of intersection of these lines.

Solve by graphing:

1. Write each equation in slope-intercept form:

2. Graph both equations:

The graphs intersect at the point (2,3), so (2,3) is the solution of the system.