Matematika

Pertanyaan

tolong di jawab yah!!!!
tolong di jawab yah!!!!

1 Jawaban

  • Misal :
    1/x = a
    1/y = b
    1/z = c

    (1) 2a + 2b - 4c = 2
    (2) 3a - 2b + 5c = 10
    (3) 4a + 5b - 3c = 17

    Jumlahkan persamaan (1) dan (2)
    5a + c = 12 ... (4)

    persamaan (2) kalikan 5
    persamaan (3) kalikan 2
    15a - 10b + 25c = 50
    8a + 10b - 6c = 34
    Jumlahkan
    23a + 19c = 84 ... (5)

    Persamaan (4) kalikan 19
    95a + 19c = 228
    23a + 19c = 84
    Kurangkan
    72a = 144
    a = 2 ---> x = 1/a = 1/2 ✔

    5a + c = 12
    5.2 + c = 12
    c = 2 ---> z = 1/c = 1/2 ✔

    2a + 2b - 4c = 2
    a + b - 2c = 1
    2 + b - 4 = 1
    b = 3 ---> y = 1/b = 1/3 ✔