Matematika

Pertanyaan

x + y + z =12
x + 2y - z = 12
x + 3y + 3z =24
cari persamaan linear 3 variabel

1 Jawaban

  • jwb =
    (eliminasi)
    x + y + z = 12 (dikali 3)
    x + 3y + 3z = 24
    -----
    3x + 3y + 3z = 36
    x + 3y + 3z = 24
    ------------------------- -
    2x = 12
    x = 6

    (eliminasi)
    x + y + z = 12 (kali 2)
    x + 2y - z = 12
    -----
    2x + 2y + 2z = 24
    x + 2y - z = 12
    ------------------------- -
    x + 3z = 12

    (substitusi)
    x + 3z = 12 (x = 6)
    6 + 3z = 12
    3z = 12 - 6
    3z = 6
    z = 2

    (substitusi)
    x + y + z = 12
    6 + y + 2 = 12
    y + 8 = 12
    y = 12 - 8
    y = 4

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