Get started with a 30-day free trial on Brilliant: 👉https://brilliant.org/blackpenredpen/ ( 20% off with this link!) This system of nonlinear equations is from the general round of the 2023 Harvard-MIT math tournament. https://www.hmmt.org/www/archive/271 I will present the linear algebra method I learned from their official solution to solve this system because I thought it was fascinating. It's from Harvard and MIT, of course, it is awesome! 3 ways of finding the determinant of a 3x3 matrix: https://www.youtube.com/watch?v=TkNeDxoRikY Try "my first Harvard-MIT math tournament problem": https://www.youtube.com/watch?v=jQuArBZO7PI ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 💪 Get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen