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The exact solution for a system with two-particle annihilation anddecoagulation has been studied. The spectrum of the Hamiltonian of the systemis found. It is shown that the steady state is two-fold degenerate. The averagenumber density in each cite <n_i(t)> and the equal time two-point functions<n_i(t), n_j(t)> are calculated. Any equal time correlation functions at largetimes,  $<n_i({\infty}), n_j({\infty}), ...>$, is also calculated. The relaxationbehaviour of the system toward its final state is investigated and it is shownthat generally it is exponential, as it is expected. For the special symmetriccase, the relaxation behaviour of the system is a power law. For the asymmetriccase, it is shown that the profile of deviation from the final values is anexponential function of the position.Comment: 18 pages, LaTeX file, references corrected, some typos corrected, to  appear in Journal of Physics

Similarity transformation in one-dimensional reaction-diffusion systems: the voting model as an example