Matematika

Pertanyaan

Selesaikan sistem persamaan linear 3 variabel berikut ! (Dgn caranya ya kak)
Selesaikan sistem persamaan linear 3 variabel berikut ! (Dgn caranya ya kak)

1 Jawaban

  • x + 2y + 3z = 5
    2x - 3y + z = 7
    3x - y - 2z = 0

    3x - y - 2z = 0
    x = y/3 + 2/3z

    2x - 3y + z = 7
    2(y/3 + 2/3z) - 3y + z = 7
    2y/3 + 4/3z - 3y + z = 21
    2y + 4z - 9y + 3z = 21
    - 7y + 7z = 21

    x + 2y + 3z = 5
    y + 2z + 6y + 9z = 15
    7y + 11z = 15

    - 7y + 7z = 21
    7y + 11z = 15
    _________ +
    18z = 36
    z = 2

    7y + 11z = 15
    7y + 22 = 15
    7y = 15 - 22
    7y = - 7
    y = - 1

    x = y/3 + 2/3z
    x = - 1/3 + 4/3
    x = 1