Matematika

Pertanyaan

selesaikan SPLTV berikut dengan caranya, terserah pake metode apa

x-2y+z=-1
2x+y-3z=3
3x+3y-2z=10

1 Jawaban

  • x - 2y + z = -1  |x2
    2x + y - 3z = 3 |x1
    2x - 4y + 2z = -2
    2x + y - 3z = 3
    _______________ _
           -3y + 5z = -5

    x - 2y + z = -1      |x3
    3x + 3y - 2z = 10 |x1
    3x - 6y + 3z = -3
    3x + 3y - 2z = 10
    ________________ _
          -9y + 5z = -13

    -3y + 5z = -5   |x3
    -9y + 5z = -13 |x1
    -9y + 15z = -15
    -9y + 5z = -13
    ______________ -
            20z = -2
                z = -10

    -3y + 5z = -5
    -3y + 5(-10) = -5
    -3y -50 = -5
    -3y = -5 + 50
    -3y = 45
       y = -15

    x - 2y + z = -1
    x - 2(-15) -10 = -1
    x + 30 - 10 = -1
    x + 20 = -1
    x = -1 - 20
    x = -21

    HP = {-21, -15, -10}

Pertanyaan Lainnya