Matematika

Pertanyaan

jika x dan y memenuhi sistem persamaan 2/x + 1/y = 1 dan 2/x - 1/y = 8 maka nilai 1/x+y =

1 Jawaban

  • 2/x + 1/y = 1
    2/x - 1/y = 8
    ------------------ (+)
    4/x = 9
    1/x = 9/4

    2/x + 1/y = 1
    2 . 9/4 + 1/y = 1
    1/y = 1 - 9/2
    1/y = (2 - 9)/2
    1/y = -7/2
    y = -2/7

    (1/x) + y = 9/4 - 2/7 = (63 - 8)/28 = 55/28

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