We derive necessary and sufficient conditions for the existence and an expression of the (anti)reflexive solution with respect to the nontrivial generalized reflection matrix P to the system of complex matrix equations AX = B and XC = D.The explicit solutions of the approximation problem minX∈φ‖X- E‖F was given, where E is a given complex matrix and o is it was pointed that some results in a recent paper are special cases of this paper.