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Very frequently in the solving of chemical problems, an equation or a system of simultaneous equations cannot be solved explicitly for the desired unknown quantity. Occasionally it is possible to make some simplifying approximations in the equation or equations which then permit an approximate explicit solution. However, such approximations may introduce more error than is tolerable, and some other technique must then be used. It is the purpose of this paper to summarize some of the important equationsolving techniques of numerical analysis and to illus-

Solvent extraction is combined with gas chromatography to produce an effective method of analysis for aluminum, gallium, and indium mixtures. The

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