Carbon disulfide is a common solvent that is produced by reacting sulfur vapor with methane. It is produced in a steady-flow reactor where the following chemical reactions take place: Reaction 1: CH4 + 2S → CS2 + 2H2 Reaction 2: CH4 + 4S → CS2 + 2H2S Reaction 3: CH4 + 2H2S → CS2 + 4H2 Using Gaussian elimination, determine the number of independent reactions these three reactions can be reduced to. What are these reactions?

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