On the system of difference equations $$ x_n=\frac{x_{n-1}y_{n-2}}{ay_{n-2}+by_{n-1}}, y_n=\frac{y_{n-1}x_{n-2}}{cx_{n-2}+dx_{n-1}}$$.

We show that the investigated system of difference equations is solvable in closed form and by using obtained formulas we give some results on the long term behavior of their solutions.