Matematika

Pertanyaan

Nilai x yang memenuhi persamaan 3x+2y-6z=12
5x-4y+2z=0
6X+z=26 adalah....

1 Jawaban

  • Persamaan I
    3x + 2y - 6z =12 [x2] 6x + 4y - 12z =24
    5x - 4y + 2z =0 [x1] 5x - 4y + 2z =0
    ————————— +
    11x -10z =24

    Persamaan II
    =>11x - 10z = 24 [x1] 11x - 10z = 24
    6x + z = 26 [x2] 60x + 10z = 260
    ——————— +
    71x = 284
    x = 4

    x= 4 masukkan ke persamaan II

    =>11x - 10z = 24
    = 11 . 4 - 10z =24
    = 44 - 10z = 24
    = - 10z = - 20
    = z = 2

    => x= 4, z= 2, masukkan ke persamaan I

    = 5x - 4y +2z =0
    = 5 . 4 - 4y + 2 . 2 =0
    = 24 - 4y =0
    = - 4y = -24

    - 24
    y= ——— = 6.
    - 4


    Jadi => nilai : x= 4, y= 6, z=2
    Nilai x => 4.
    Semoga membantu :) Follow aku ya :)

Pertanyaan Lainnya