Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site aecom.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxl!ihnp4!zehntel!hplabs!hao!seismo!cmcl2!rocky2!cucard!aecom!mpoppers From: mpoppers@aecom.UUCP Newsgroups: net.math Subject: Simultaneous Rational Bilinear Diophantine Equations Message-ID: <717@aecom.UUCP> Date: Tue, 19-Jun-84 15:43:10 EDT Article-I.D.: aecom.717 Posted: Tue Jun 19 15:43:10 1984 Date-Received: Fri, 22-Jun-84 20:29:06 EDT Organization: Albert Einstein Coll. of Med., NY Lines: 14 Given rational N and P, find all integers a,b,x,y satisfying a + y = b + x, for which N = (ay - bx)/(xy - ab) and P = (xy - ab)/(ax - by). -- Amer. Math. Monthly 91:6 (solution listed there; don't peek!) If you want to forward solutions to me instead of the Net, go right ahead -- but only until the end of June; use the mail after that time. Have a good summer, everybody! {[][][][][][][][]} { PERITUS CLAVIS } Michael Poppers @ { XX } | aecom | mpoppers, where XX = { MACHINAE VIVIT } spike,rocky2,ihnp4,pegasus,esquire,cucard,philabs {[][][][][][][][]} 143 Bennett Avenue-Apt. 3P; New York, NY 10040-4063