MathDB

System of 6 Equations

Source: 2011 IrMO Paper 1 Problem 1

February 8, 2018

algebra

Problem Statement

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.