Reducing an integer linear equation to an equivalent system

A method is proposed for the creation of a system of linear integer equations that is equivalent to a given linear integer equation. The method is based on the theorem stating that one linear integer equation can be transformed into two linear integer equations with the identical set of nonnegative integer solutions. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 180–183, January–February 2006.