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.

Hint

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

Answer

Many possible correct responses. For example:

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

For more solutions see https://www.desmos.com/calculator/clsixz0vom (courtesy of Colleen Young)

Source: Daniel Luevanos

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8 comments

  1. What a wonderful problem – thank you. I could not resist a play with Desmos to generate more solutions!
    https://www.desmos.com/calculator/clsixz0vom

  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.

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