Matematika

Pertanyaan

X-2y+z=-1
2x+y-3z=3
3x+3y-2z=10
Butuh secepatnya please

1 Jawaban

  • x - 2y + z = - 1 |×3
    2x + y - 3z = 3 |×1
    3x - 6y + 3z = - 3
    2x + y - 3z = 3
    -------------------------(+)
    5x - 5y = 0 ... pers 1

    2x + y - 3z = 3 |×2
    3x + 3y - 2z = 10 |×3
    4x + 2y - 6z = 6
    9x + 9y - 6z = 10
    ------------------------(-)
    - 5x - 7y = - 4 ... pers 2

    pers 1 & 2
    5x - 5y = 0
    -5x - 7y = - 4
    -------------------(+)
    -12y = - 4
    y = 4/12

    5x - 5y = 0
    5x - 5 . 4/12 = 0
    5x - 20/12
    5x = 20/12
    x = 20/12 ÷ 5
    x = 20/12 × 1/5
    x = 4/12

    x - 2y + z = - 1
    4/12 - 2.4/12 + z = - 1
    4/12 - 8/12 + z = - 1
    - 4/12 + z = - 1
    z = - 1 + 4/12
    z = - 8/12

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