IrMO 2011 Problem 1

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

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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