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    zombiemuffins13's Avatar
    zombiemuffins13 Posts: 1, Reputation: 1
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    #1

    Sep 16, 2009, 01:27 PM
    How do you prove the Law of Reciprocals with a two colume proof
    Hi everyone. Today in my Alg.2 class I was given an extra credit assignment of proving The Law of Reciprocals using a 2-column proof method. Here is the problem I was given:

    Prove : if 1/x = a/b, then x = b/a ; a, x, & b do not equal 0. If anybody knows how to solve this problem or could help me it would be appreciated!

    (p.s. my 1/x symbols are supposed to look like upright fractions but I don't know how to type them upright on my keyboard)
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #2

    Sep 16, 2009, 02:30 PM
    The 2-col proof would start with your premise: . In the right column, your listed justification would be "Premise" or "Hypothesis".

    After that, just solve for x algebraically, one step at a time. For each step, indicate the justification, which will be typically one of the basic properties or axioms of real numbers.

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