On the system xn+1=ynxn-k/(yn-k+1(an+bnynxn-k)), yn+1=xnyn-k/(xn-k+1(cn+dnxnyn-k))
It is shown that the system of difference equationsx"n"+"1=y"nx"n"-"ky"n"-"k"+"1(a"n+b"ny"nx"n"-"k),y"n"+"1=x"ny"n"-"kx"n"-"k"+"1(c"n+d"nx"ny"n"-"k),[email protected]?N"0,where [email protected]?N, the sequences a"n,b"n,c"n,d"n, [email protected]?N"0, and the initial values x"-"i,y"-"i, i=0,[email protected]? are real numbers can be solved in closed form. Asymptotic behavior of well-defined solutions of the system for the case when all the sequences a"n,b"n,c"n and d"n are constant is studied in detail.