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Math Help - Equation Involving Rational Expressions

  1. #1
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    Question Equation Involving Rational Expressions

    3 - x = 1 - 2x - 5
    x - 2 1 x + 2

    The Answer: 5
    2

    No idea how to get there, please help.
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  2. #2
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    Quote Originally Posted by Billy Reloaded View Post
    3 - x = 1 - 2x - 5
    x - 2 1 x + 2

    The Answer: 5
    2

    No idea how to get there, please help.
    Is this
    \frac{3 - x}{x - 2} = 1 - \frac{2x - 5}{x + 2}

    Note that you can get rid of the fractions if you multiply both sides by (x + 2)(x - 2):
    (x + 2)(x - 2) \left ( \frac{3 - x}{x - 2} \right ) =(x + 2)(x - 2) \left ( 1 - \frac{2x - 5}{x + 2} \right )

    (x + 2)(3 - x) = (x + 2)(x - 2) - (x - 2)(2x - 5)

    Can you do it from here?

    -Dan
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  3. #3
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    yes, thank you very much, I was putting the one in its own brackets, kind got myself too many trinomials.
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