In the 75th Congress (1937-1939) there were—in the Senate—75 Democrats, 17 Republicans, and 4 members of other parties. Suppose that a bill passed the Senate with 16 more votes in favor than against, with three times as many Democrats voting in favor as non-Democrats voting in favor, and with 32 more Democrats voting in favor than Republicans voting in favor. Answer the following question by setting up and solving (via Gauss-Jordan reduction) a system of linear equations: If every member voted either for the bill or against it, how many Democrats, how many republicans, and how many members of other parties voted in favor of the

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