advance functions gr12 HELP ASAP

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using rational functions solve (x+5)/(x-3)= (2x+7)/(x)

thank you

  • advance functions gr12 HELP ASAP -

    as with all fractions , cross-multiply to get rid of them:

    (x+5)(x) = (2x+7)(x-3) assuming x≠0,3
    x^2+5x = 2x^2+x-21
    x^2-4x-21 = 0
    (x-7)(x+3) = 0
    x = -3,7

    check:
    (-3+5)/(-3-3) = -1/3 = (-6+7)/(-3)
    (7+5)/(7-3) = 3 = (14+7)/7

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