On the Behavior of Solutions of the System of Rational Difference Equations: xn+1 = xn−1/(ynxn−1 − 1), yn+1 = yn−1/(xnyn−1 − 1), andzn+1 = zn−1/(ynzn−1 − 1)

xn+1 = xn−1 ynxn−1 − 1 , yn+1 = yn−1 xnyn−1 − 1 , zn+1 = 1 Abstract In this article, we investigate the solutions of the system of difference equations yn+1 = yn−1 xnyn−1 − 1 , yn+1 = yn−1 xnyn−1 − 1 , zn+1 = 1 ynzn where x0, x-1, y0, y-1, z0, z-1 real numbers such that y0x-1 ≠ 1, x0y-1 ≠ 1 and y0z0 ≠ 0.