Considered is the following system of difference equations
where the sequences , , , , , are two-periodic and the initial values , , , are real numbers. For the all possible cases, the author derives explicit formulae for all well-defined solutions. These results extend those in his paper [Appl. Math. Comput. 218, No. 14, 7649–7654 (2012; Zbl 1243.39011)].