Abstract
In this paper, we get the form of the solutions of the following difference equation systems of order four
x(n+1) = y(n)x(n-2)/y(n) + y(n-3), y(n+1) = x(n)y(n-2)/+/- x(n)+/- y(n-3), n = 0, 1, 2...,
where the initial conditions x(-3), x(-2), x(-1), x(0), y(-3), y(-2), y(-1), yo are arbitrary non zero real numbers.