Matematika

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Tentukan himpunan solusi dari spltv menggunakan metode eliminasi-subsitusi
X+2y-3z=-4
2x-y+z=3
3x+2y+z=10

1 Jawaban

  • x + 2y - 3z = - 4
    2x - y + z = 3
    3x + 2y + z = 10

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

    x + 2y - 3z = - 4
    x + 2y - 3(3 - 2x + y) = - 4
    x + 2y - 9 + 6x - 3y = - 4
    7x - y = - 4 + 9
    7x - y = 5

    3x + 2y + z = 10
    3x + 2y + 3 - 2x + y = 10
    x + 3y = 10 - 3
    x + 3y = 7

    7x - y = 5|× 3
    x + 3y = 7|× 1

    21x - 3y = 15
    x + 3y = 7
    _________+
    22x = 22
    x = 1

    7x - y = 5|× 1
    x + 3y = 7|× 7

    7x - y = 5
    7x + 21y = 49
    __________—
    - 22y = - 44
    y = 2

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

    Maaf Kalau Salah

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