Matematika

Pertanyaan

tentukan HP sistem persamaan linear 3 variabel dari 5x-y+2z=25 , 3x+2y-3z=16 , 2x-y+z=9

1 Jawaban

  • 5x-y+2z=25     => dikali 2 => 10x-2y+4z=50
    3x+2y-3z=16   => dikali 1 => 3x+2y-3z=16
                                                 ---------------------    +
                                                   13x    +z  = 66

     3x+2y-3z=16   => dikali 1 => 3x+2y-3z=16
    2x-y+z=9          => dikali 2 => 4x-2y+2z=18
                                                  ---------------------   +
                                                     7x    -z = 34

    13x+z=66
    7x-z=34
    --------------  +
    20x   = 100
    x=5

    7x-z=34
    35-z=34
    z=35-34
    z=1

    2x-y+z=9
    10-y+1=9
    11-y=9
    y=2

    Jadi:
    x=5
    y=2
    z=1

Pertanyaan Lainnya