Matematika

Pertanyaan

Bisa tolong nggk isiin plizz lh a

DieliminasiKn bukan disubstitusikan
5x+2y+3z=18 (i)
2x-3y+z=3 (ii)
3x+4y-2z=6 (iii)

Perhatikan di eliminasikanlah bukan disubstitusikan ya tmn

1 Jawaban

  • (i) 5x + 2y + 3z = 18z >> ×1 >> 5x + 2y - 3z = 18
    (ii) 2x - 3y + z = 3 >> ×3 >> 6x - 9y + 3z = 9
    ____________+
    (iv) 11x - 7y = 27
    (ii) 2x - 3y + z = 3 >> ×2 >> 4x - 6y + 2z = 6
    (iii) 3x + 4y - 2z = 6 >> ×1 >> 3× + 4y - 2z = 6
    ____________+
    (v) 7x - 2y = 12

    (iv) 11x - 7y = 27 >> ×2 >> 22x - 14y = 54
    (v) 7x - 2y = 12 >> ×7 >> 49x - 14y = 84
    ____________-
    -27x = -30
    x = 9/10

    7x - 2y = 12
    (7 × 9/10) - 2y = 12
    63/10 - 2y = 12
    -2y = 120/10 - 63/10
    -2y = 57/10
    y = -57/20

    2x - 3y + z = 3
    (2 × 9/10) - (3 × (-57/20)) + z = 3
    9/5 + 171/20 + z = 3
    36/20 + 171/20 + z = 3
    207/20 + z = 3
    z = 3 - 207/20
    z = 60/20 - 207/2
    z = 147/20

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