Matematika

Pertanyaan

Selesaikan dengan metode eliminasi:

1. x + 2y = 3
x + 3y = 4

2. -2 x + 4y = -6
3x + 2y = 0

1 Jawaban

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

    x + 2y = 3 |×3
    x + 3y = 4 |×2
    3x + 6y = 9
    2x + 6y = 8
    ------------------(-)
    x = 1

    hp = {1 , 1}

    2) - 2x + 4y = - 6
    3x + 2y = 0 |×2
    - 2x + 4y = - 6
    6x + 4y = 0
    ---------------------(-)
    - 8x = - 6
    x = 6/8
    x = ⅔

    - 2x + 4y = - 6 |×3
    3x + 2y = 0 |×2
    - 6x + 12y = - 18
    6x + 4y = 0
    ------------------------(+)
    16y = - 18
    y = - 18/16
    y = - 9/8

    hp = {⅔ , - 9/8}

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