MathDB

System of equations

Source: XIII Polish Junior MO 2018 Second Round - Problem 3

April 24, 2018

algebrasystem of equationsnumber theoryPoland

Problem Statement

Determine all trios of integers

(x, y, z)

which are solution of system of equations

\begin{cases} x - yz = 1 \\ xz + y = 2 \end{cases}