how to solve (x – 3) /x = (x – 3) / (x – 6) ?

Right now I’m learning how to solve Rational Expressions and I can’t seem to understand this expression. Can someone please type in the answer and show the steps in order to solve it?? That way I would know what to do the next time something like this pops up 🙂

Thanks

4 Answers

  • Well fist of all you cross multiply the two sides, thus:

    (x – 3) (x – 6) = (x – 3) x

    x^2 – 6x – 3x + 18 = x^2 – 3x

    now we move the right hand side expression to left hand side and solve:

    x^2 – x^2 – 6x – 3x + 3x + 18 = 0

    -6x + 18 = 0

    -6x = – 18

    x = 18/6

    x = 3

    Cheers

  • X 3 X 6

  • https://shorturl.im/TMNbB

    *Eliminate fractions… First: multiply the denominators with each term. 2(3)(6)(x/3) – 2(3)(6)(x/6) = 2(3)(6)(2) Sec: cross cancel the same terms – combine the rest. 2(6)(x) – 2(3)(x) = 2(3)(6)(2) 12x – 6x = 72 6x = 72 Third: divide both sides by 6 (when you move a term to the opposite side, alway use the opposite sign). 6x/6 = 72/6 x = 72/6 x = 12

  • -3/7 + x = -9

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