A simple method is presented for the analysis of the ultrasonic relaxation amplitudes for an unrestricted number of coupled chemical equilibria. The method results in an explicit, general expression for the amplitudes and it offers significant reduction in mathematical manipulations compared with that of normal mode analysis. A general expression is presented for immediate computation of the ultrasonic relaxation amplitudes from an inspection of the elementary reactions of the mechanism. The reactions in the mechanism may be of any order and also parallel reaction paths may be included.