Matematika

Pertanyaan

selesaikan dengan cara gabungan eliminasi dan subtitusi
2x+3y-4z=3
-3x+2y+3z=-1
4x-5y+2z=5

Please jawab aku mohon

1 Jawaban

  • 2x + 3y - 4z = 3
    -3x + 2y + 3z = -1
    4x - 5y + 2z = 5

    2x + 3y - 4z = 3 || ×3
    -3x + 2y + 3z = -1 || ×2
    = 6x + 9y - 12z = 9
    -6x + 4y + 6z = -2
    ------------------------- +
    13y - 6z = 7

    -3x + 2y + 3z = -1 || ×4
    4x - 5y + 2z = 5 || ×3
    = -12x + 8y + 12z = -4
    12x - 15y + 6z = 15
    ------------------------------ +
    -7y + 18z = 11

    13y - 6z = 7 ||×3
    -7y + 18z = 11 || ×1
    = 39y - 18z = 21
    -7y + 18z = 11
    ----------------------- +
    32y = 32
    y = 1

    13(1) - 6z = 7
    -6z = -6
    z = 1

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

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