Matematika

Pertanyaan


selesaikan sistem persamaan :
x - y + z = -4
2x + y + 2z = -5
3x - y - z = -6

1 Jawaban

  • (1) x - y + z = -4. × 2. 2x - 2y + 2z = -8
    (2) 2x + y + 2z = -5. × 1. 2x + y + 2z = -5
    - 3y = -3
    y = -3/-3
    y = 1

    (1) x - y + z = -4. × 3. 3x - 3y + 3z = -12
    (3) 3x - y - z = -6. × 1. 3x - y - z = -6
    - 2y + 4z = -6 ... (4)

    (2) 2x + y + 2z = -5. × 3 5x + 3y + 6z = -15
    (3) 3x - y - z = -6. × 2. 5x - 2y - 2z = -12
    5y + 8z = -3 ... (5)

    (4) -2y + 4z = -6. × 5. -10y + 20z = -30
    (5) 5y + 8z = -3. × -2. -10y + 16z = -6
    4z = -24
    z = -24/4
    z = -6

    (1) x - y + z = -4
    x - 1 + (-6) = -4
    x - 7 = -4
    x = -4 + 7
    x = 3

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