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

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

https://www.desmos.com/calculator/clsixz0vom

Thanks for this Colleen. I have added it to the answer 🙂

thank you so much that help me a lot.

4x+2y=16

6x+y=20

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

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

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