Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site faron.UUCP Path: utzoo!linus!faron!bs From: bs@faron.UUCP (Robert D. Silverman) Newsgroups: net.math Subject: A simple Diophantine Equation Message-ID: <364@faron.UUCP> Date: Fri, 11-Oct-85 09:50:57 EDT Article-I.D.: faron.364 Posted: Fri Oct 11 09:50:57 1985 Date-Received: Sat, 12-Oct-85 05:27:18 EDT Distribution: net Organization: The MITRE Coporation, Bedford, MA Lines: 12 Does anyone know of a simple way for solving the diophantine equation: Ax + By + xy = K with A,B,K given? By making the substitution x' = (x + B) and y' = (y + A) it can be transformed into the problem of factoring K + AB. Is there any other way of solving it???? Bob Silverman (they call me Mr. 9)