Create a System of Two Equations

Directions: Using the digits 1 to 30, at most one time each, fill in the boxes to create a system of two linear equations where (3, 2) is the solution to the system.


What does it mean to be the solution to a system of linear equations?


Many possible correct responses. For example:

3x + 5y = 19
4x + 1y = 14

For more solutions see (courtesy of Colleen Young)

Source: Daniel Luevanos

Print Friendly, PDF & Email

Check Also

Difference of Squares and Sum of Cubes

Directions: Using the digits 0 to 9 at most one time each, place a digit …


  1. What a wonderful problem – thank you. I could not resist a play with Desmos to generate more solutions!

  2. thank you so much that help me a lot.

  3. This a problem that would motivate my students. They would be competing to see who could find more solutions.

  4. This problem will engage students and help them have a deeper understanding of the concept.

  5. The exploration in this problem will motivate to students to learn.

Leave a Reply to Colleen Young Cancel reply

Your email address will not be published.