Matematika

Pertanyaan

beparakah HP dari : 6/x - 5/y = 9 dan 7/x - 2/y = 5? beserta caranya cooy

1 Jawaban

  • misal 1/x = a
             1/y = b

    (6a - 5b = 9)  x 2 ---> 12a - 10b = 18
    (7a - 2b = 5)  x 5 ---> 35a - 10b = 25 (dengan eliminasi dihasilkan)

    - 23a = -7
         a = -7/-23 = 7/23

    6a - 5b = 9
    6(7/23) - 5b = 9
    42/23 - 5b = 9
    5b = 9 - 42/23
    5b = 207/23 - 42/23
    5b = 165/23
    b = 165/(5 x 23)
    b = 33/23

    1/x = a
    1/x = 7/23
    x = 23/7

    1/y = b
    1/y = 33/23
    y = 23/33

    HP {23/7 ; 23/33}

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