Matematika

Pertanyaan

Hasil penyelesaian persamaan berikut : 1/x+3 - 1/y+1 = 6
2/x+3 + 1/ 2y+2 = 4

1 Jawaban

  • Anggap saja,
    1/(x+3) = a
    1/(y+1) = b
    Jadi,
    a - b = 6 ..........menjadi 4a-4b = 24
    2a + 1/2 b = 4...menjadi 4a+b = 8
    Kurangi, didapat:
    -5b = 12
    b = -12/5
    Substitusikan agar mendapat nilai a:
    a-b = 6
    a - 12/5 = 6
    a = 6 + 12/5 = 42/5
    Sehingga,
    a = 42/5 dan b = -12/5
    Karena,
    1/(x+3) = a
    1/(x+3) = 42/5
    42(x+3) = 5
    42x+126 = 5
    42x = -121
    x = -121/42
    Dan,
    1/(y+1) = b
    1/(y+1) = -12/5
    12(y+1) = -5
    12y+12 = -5
    12y = -17
    y = -17/12

    HP = {(x,y)|(-121/42 , -17/42)}

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