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Math Help - Canceling

  1. #1
    Junior Member
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    Canceling

    I have a rational equation 2x/(x-1)-2/(x)=7/(3x-3)

    I figured out that x(3x-3) is the LCD, but I have no clue how to cancel it from the first term 2x/(x-1). As always, any help is appreciated!!!
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  2. #2
    Super Member

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    Hello, Mathfailure!

    I have a rational equation: .2x/(x-1) - 2/(x) .= .7/(3x-3)

    I figured out that x(3x-3) is the LCD . . .

    Why didn't you leave the LCD in factored form? . . . 3x(x - 1)


    When we multiply through by the LCD, we get:

    . . . . . . . . . .2x . . . . . . . . . .2 . . . . . . . . . . . . 7
    . . 3x(x - 1)------ .- .3x(x - 1)-- . = . 3x(x - 1)---------
    . . . . . . . . .x - 1 . . . . . . . . . x . . . . . . . . . . 3(x - 1)

    Now you can cancel, right?

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