Systems of Equations

Solving systems of equations sometimes called simultaneous equations with graphs is simply a matter of finding out where they intersect. One of the most valuable things students can learn is to be able to visualize linear equations and systems of equations so that they can tell the quadrant where the intersection and therefore the solution is. This develops the valuable ability to estimate solutions. We suggest students practice picturing and then graphing systems with a variety of slopes and intercepts. Significant relationships like perpendicular lines should be another focus.