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Math Help - Elimination (with fractions)

  1. #1
    Junior Member
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    Elimination (with fractions)

    I've thought I had elimination down but adding fractions is making me crazy, help?

    The question that I need help on is.

    m + 3/4n =4
    n - 1/4m = -1
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  2. #2
    MHF Contributor
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    Is the problem

    (1)
    m + \frac{3}{4}n = 4

    n - \frac{1}{4}m = -1

    or (2)
    m + \frac{3}{4n} = 4

    n - \frac{1}{4m} = -1

    ?
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  3. #3
    Junior Member
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    It's the first one.

    Forgive me, i'm still new :P
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  4. #4
    MHF Contributor
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    Well, if you don't like fractions, you can get rid of them.

    m + \frac{3}{4}n = 4 is equivalent to

    4m + 3n = 16

    and n - \frac{1}{4}m = -1 is equivalent to

    4n - m = -4.

    If you can handle fractions, the easiest method comes from adding the two equations m + \frac{3}{4}n = 4 and 4n - m = -4 to obtain \left(4 + \frac{3}{4}\right)n = 0, that is, n = 0.
    From this, m = 4 quickly follows.
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