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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:    • How to find the determinant of a 3 by...  

Try "my first Harvard-MIT math tournament problem":    • My First Harvard MIT Math Tournament ...  
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