Systems of Three Equations – Multiple Solutions

Directions: Using the digits 1 through 9, at most one time each, create a system of equations that has as many solutions as possible.

Hint

How would three lines that have one solution look on a graph?  How would three lines that have two solutions look on a graph?  How would three lines that have three solutions look on a graph?  How would three lines that have more than 3 solutions look on a graph?

Answer

To have an infinite number of solutions, they would have to be three identical lines. So, one possible answer is 4x + 8y = 0, 3x + 6y = 0, and 1x + 2y = 0 which gives three identical lines.

Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

Check Also

Linear and Quadratic System

Directions: Directions: Using the integers from −9 to 9 at most once each, place one …

Leave a Reply

Your email address will not be published. Required fields are marked *