I’ve been thinking about systems of linear equations for the past couple of days. Most of my focus has been on systems of two equations, but this morning I wrote a question about a system of three linear equations that might spark some interesting and revealing classroom conversations:

And now I’m wondering…
- How many solutions does that system have? Drop your thoughts in the comments, would you?
- If you put this prompt in front of your students, I’d love to hear a recap of how that plays out.
