Glossary Checklist FAQ

B. Solving Systems of Equations Graphically Using Technology

The graph of a linear-quadratic system is shown. The points of intersection do not lie on grid intersections, so it is impossible to accurately determine the solutions by looking at this graph. The best you can do is to say the solutions are approximately \((−3.5, 4.4)\) and \((1.1, 2.6)\).

Many graphing calculators and graphing programs allow you to determine the coordinates of a point of intersection with greater accuracy. In general, when using a graphing device to solve systems of equations, you will need to

  • graph the two functions separately, and
  • use an intersection command to determine where the graphs of the two functions cross.

For more specific instructions, consult your calculator’s manual or enter “solving systems using [enter the name of your graphing calculator or program]” into a search engine. More specific instructions for TI-83™ and TI-84™ calculators are provided in the Calculator Guide. If you have difficulty solving systems of equations using technology, contact your teacher.