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In math 101, checking answers for equations is crucial for accuracy. Simply substitute the solution back into the original equation to ensure it yields a true statement. For example, with X=-3, replacing X in the equation -3X+4=13 shows -3*-3 + 4 = 13, simplifying to 13=13 which is true. Conversely, for an incorrect solution like a=8 in a multi-step equation, substituting it in could result in a false statement, highlighting the importance of double-checking solutions.