Matematika

Pertanyaan

persamaan linear 4x+y-3z=11 2x-3y+2z=9 x+y+z=-3

1 Jawaban

  • 4x + y - 3z = 11
    2x - 3y + 2z = 9
    x + y + z = - 3

    x = - 3 - y - z

    2x - 3y + 2z = 9
    2(- 3 - y - z) - 3y + 2z = 9
    - 6 - 2y - 2z - 3y + 2z = 9
    - 5y = 9 + 6
    - 5y = 15
    - y = 3
    y = - 3

    4x + y - 3z = 11
    4(- 3 - y - z) + y - 3z = 11
    - 12 - 4y - 4z + y - 3z = 11
    - 12 + 12 - 4z - 3 - 3z = 11
    - 7z = 11 + 3
    - 7z = 14
    - z = 2
    z = - 2

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


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