#algebra #matholympiad a+b=abc, b+c=abc, c+a=abc find a, b, c

This video provides a step-by-step mathematical derivation to solve a system of three equations from a Math Olympiad problem: $a + b = abc$, $b + c = abc$, and $c + a = abc$. The instructor demonstrates how to prove that $a = b = c$ and calculates the three possible sets of values for the variables.