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MathNet 2026 — Part 05 Question 36

Math Olympiad Vault · MathNet 2026 — Part 05

Question 36

Suppose $abc \neq 0$. Express in terms of $a$, $b$, and $c$, the solutions $x$, $y$, $z$, $u$, $v$, $w$ of the equations
$$
x + y = a, \quad z + u = b, \quad v + w = c, \quad ay = bz, \quad bu = cv, \quad cw = ax.
$$