Find x,y
Source: Moldova Junior TST 2008 Day 2 Problem 1
April 11, 2008
algebra proposedalgebra
Problem Statement
Find all natural pairs , such that and are relative prime and satisfy equality: 2x^2 \plus{} 5xy \plus{} 3y^2 \equal{} 41x \plus{} 62y \plus{} 21.