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Math Help - Field acioms- division

  1. #1
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    Field acioms- division

    Hello, I need some help on how to prove this using the field axioms of the real numbers

    Given a and b with a =/ 0, there is exactly one x such that ax = b. This x is denoted as b/a.

    Thanks in advance
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  2. #2
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    Quote Originally Posted by lds09 View Post
    Hello, I need some help on how to prove this using the field axioms of the real numbers

    Given a and b with a =/ 0, there is exactly one x such that ax = b. This x is denoted as b/a.

    Thanks in advance
    ax=b then a^{-1}(ax)=a^{-1}b then (a^{-1}a)x=a^{-1}b thus 1x = a^{-1}b thus x=a^{-1}b.
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