MathDB

Let $x$ and $y$ be integers. Prove that one of the expressions $$2x+3y \text{and

Source: Eotvos 1894 p1

March 13, 2020

algebra

Problem Statement

Let

x

and

y

be integers. Prove that one of the expressions

2x+3y \text{ and } 9x+5y

is divisible by

17

if and only if so is the other.