Open Middle®
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.