On a system of difference equations with period two coefficients

We show that the system of difference equationsxn+1=anxn-1bnynxn-1+cn,yn+1=αnyn-1βnxnyn-1+γn,n∈N0,where the sequences an, bn, cn, αn, βn, γn are two-periodic and initial values x−1, x0, y−1, y0 are real numbers, can be solved.