- - - Ortakoy Vocational High School, Aksaray University, Aksaray, Turkey
- - - Department of Mathematics, Faculty of Science, Nevsehir Haci Bektas Veli University, Nevsehir, Turkey

We indicate that the systems of difference equations x_{n+۱}=f^{-۱}\big( af\left( p_{n-۱}\right)+bf\left( q_{n-۲}\right) \big) , \ \ y_{n+۱}=f^{-۱}\big( af\left( r_{n-۱}\right)+bf\left( s_{n-۲}\right) \big) ,\ \ n\in \mathbb{N}_{۰}, where the sequences p_{n}, q_{n}, r_{n}, s_{n} are some of the sequences x_{n} and y_{n}, f : D_f \longrightarrow \mathbb{R} be a ``۱-۱" continuous function on its domain D_f \subseteq \mathbb{R}, initial values x_{-j}, y_{-j}, j\in\{۰,۱,۲\} are arbitrary real numbers in D_f and the parameters a,b are arbitrary complex numbers, with b\neq ۰, can be solved in the closed form in terms of generalized Padovan sequences.

system of difference equations, solution of closed form, Padovan number