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Math Help - Can a non-proportion equation be changed into a proportion? Class

  1. #1
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    Can a non-proportion equation be changed into a proportion? Class

    How would you change, for example, the equation

    1/x + 3/(x-1) = 101

    into proportion? Class?
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  2. #2
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    Im' not sure exactly what you mean but if you multiply both sides of the equation through by x(x-1) you get

    (x-1)-3x = 101 x(x-1) then this can be simplified as follows.

    -1-2x = 101 (x^2-x)

    -1-2x = 101 x^2-101x

    0 = 101 x^2-99x+1

     101 x^2-99x+1= 0
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  3. #3
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    Bit of an arithmetic error in the above answer, due to a sign problem...

    Should be
    \frac{x-1+3x}{x(x-1)}=101

    whence

    101x^2-105x+1=0, then quadratic formula to solve for x.

    Happens to the best of us, at least twice a day.
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  4. #4
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    Opps!

    (x-1)+3x = 101 x(x-1) then this can be simplified as follows.

    -1+4x = 101 (x^2-x)

    -1+4x = 101 x^2-101x

    0 = 101 x^2-105x+1

     101 x^2-105x+1= 0
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