Question 36
Find all real numbers $x,y,z$ satisfying
$$
\frac{3xy}{x-y}=2,\qquad \frac{2yz}{y+2z}=3,\qquad \frac{xz}{z-4x}=3.
$$
$$
\frac{3xy}{x-y}=2,\qquad \frac{2yz}{y+2z}=3,\qquad \frac{xz}{z-4x}=3.
$$
MathNet 2021 — Part 08 Question 36
Math Olympiad Vault · MathNet 2021 — Part 08