Tables summarize results of experiments, and demonstrate that the computational method described in this article gives good agreement with true values. The simplicity and ease with which single components of composite photopeaks may be obtained by either the single equation or simultaneous-equations method was demonstrated. While the various facets of the method have long been known, their formulation in the present form for the rapid and reasonably accurate manual resolution of multicomponent gamma-ray photopeaks has not yet been previously described.