Matematika

Pertanyaan

persamaan linear tiga variabel
x-y=1
x+z=-1
y-z=6
tolong yaaa

2 Jawaban

  • x - y = 1
    x = y + 1

    substitusi ke persamaan 2
    x + z = -1
    y + 1 + z = -1
    y + z = -1 - 1
    y + z = -2

    eliminasi dengan persamaan 3
    y + z = -2
    y - z = 6
    --------------- -
    2z = -8
    z = -8 / 2
    z = -4

    substitusi ke persamaan 2
    x + z = -1
    x + (-4) = -1
    x = -1 + 4
    x = 3

    substitusi ke persamaan 1
    x - y = 1
    3 - y = 1
    -y = 1 - 3
    -y = -2
    y = 2

    maka
    x = 3
    y = 2
    z = -4

  • Materi : SPLTV

    x - y = 1
    x + z = -1
    ◆◆◆◆◆◆◆ [-]
    -y - z = 2

    -y - z = 2
    y - z = 6
    ◆◆◆◆◆◆◆ [-]
    -2y = -4
    y = 2

    y- z = 6
    2 - z = 6
    -z = 6 -2
    -z = 4
    z = -4

    x - y = 1
    x - 2 = 1
    x = 1 + 2
    x = 3

    Hp = {3, 2 , -4 }

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