MathDB
Turkey Junior Olympiad 2006, Part II - P2

Source:

January 20, 2013
calculusintegration

Problem Statement

Find all integer triples (x,y,z)(x,y,z) such that xyz=11xz+y=13. \begin{array}{rcl} x-yz &=& 11 \\ xz+y &=& 13. \end{array}