Matematika

Pertanyaan

Bab SPLTV, tolong bantu no 6 & 7 ya kak makasih kakk
Bab SPLTV,  tolong bantu no 6 & 7 ya kak makasih kakk

1 Jawaban

  • jawab

    (6)
    eliminasi (1) dan(2)
    5x - 3y + 2z = 3 ....| kali 3
    3x - 4y + 3z = - 3...| kali 2

    15x -9y + 6z = 9
    6x -8y +6z = -6
    .........................(-)
    9x - y = 15...(i)

    eliminasi (1) dan (3)
    5x - 3y + 2z = 3...|kali 2
    2x + 3y - 4z = 9

    10x - 6y + 4z  = 6
    2x + 3y - 4z = 9
    .........................(+)
    12x - 3y = 15 atau
    4x - y  = 5...(ii)

    (i) dan (ii) eliminsi
    9x - y = 15
    4x - y = 5
    .................(-)
    5x = 10
    x = 2
    sub ke (i)  9x - y = 15
    18 - y  =15 
    y = 3

    x = 2, y = 3 sub ke 5x - 3y + 2z = 3
    5(2) - 3(3) + 2z= 3
    10 - 9 + 2z = 3
    1+ 2z = 3
    2z = 2
    z = 1

    a= x , b = y, c = z
    a b c = x y z = (2)(3)(1)
    a b c = 6