System of Equations

system of equations

This graph is an example of a System of Equations. These two linear graphs represent the cost of taking a cab around town based on the number of miles driven.

The point of intersection is the solution. The point of intersection on this graph is (3,8). That means that both companies will charge the same amount, $8 for 3 miles.

That is the only time that the two companies will charge the same amount. Therefore, the point (3,8) is the solution.

A linear system of equations will only have one solution, and that is the point of intersection.




This unit on Systems of Equations contains the following lessons and practice sheets. Click on the concept that you need help with or follow each lesson in the order presented for a complete study of Systems of Equations.

Systems of Equations Unit

  • Solving a System of Equations Using a Graph

  • Using the Substitution Method

  • Using Linear Combinations (Addition Method)

  • Systems of Equations Word Problems


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