Matematika

Pertanyaan

Selesaikan sistem persamaan linear 3 variabel dari
2x + 3y - z = 20
3x +2y+ z = 20
X + 4y +2z = 15

1 Jawaban

  • 2x + 3y - z = 20 |x 2| 4x + 6y - 2z = 40
    x + 4y + 2z = 15 |x 1| x + 4y + 2z = 15
    ___________ +
    5x + 10y = 55

    3x + 2y + z = 20 |x 2| 6x + 4y + 2z = 40
    x + 4y + 2z = 15 |x 1| x + 4y + 2z = 15
    ___________ -
    5x = 25

    5x + 10y = 55
    5x = 25
    _______ -
    10y = 30
    y = 3

    5x + 10y = 55
    5x + 10(3) = 55
    5x = 55 - 30
    5x = 25
    x = 5

    2x + 3y - z = 20
    2(5) + 3(3) - z = 20
    10 + 9 - z = 20
    19 - z = 20
    19 - 20 = z
    -1 = z

    x = 5
    y = 3
    z = -1

    Semoga Membantu

Pertanyaan Lainnya