Matematika

Pertanyaan

Hp dari sistem persamaan
x+3y-z= 3
x+2y+3z= -2
x+y-z=1

1 Jawaban

  • x + 3y - z = 3
    x + 2y + 3z = - 2
    -------------------------(-)
    y - 4z = 5 ... pers 1

    x + 2y + 3z = - 2
    x + y - z = 1
    ------------------------(-)
    y + 4z = - 3 ... pers 2

    pers 1 & 2
    y - 4z = 5
    y + 4z = - 3
    ----------------(-)
    - 8z = 8
    z = - 1

    y - 4z = 5
    y - 4(-1) = 5
    y + 4 = 5
    y = 5 - 4 = 1

    x + y - z = 1
    x + 1 - (-1) = 1
    x + 2 = 1
    x = 1 - 2 = - 1

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