Matematika

Pertanyaan

Tentukkan penyelesaian sistem persamaan linear berikut dengan metode substitusi.
1. 2x + 2y = 5 dan 4x - 3y = -18
2. 2x + 2y + 2 = 0 dan 3x + 4y- 1 =0

1 Jawaban

  • 1) 2x + 2y = 5
    2x = - 2y + 5
    4x - 3y = - 18
    2(-2y + 5) - 3y = - 18
    - 4y + 10 - 3y = - 18
    - 7y = - 18 - 10
    - 7y = - 28
    y = 4
    2x = - 2y + 5
    2x = - 2(4) + 5
    2x = - 8 + 5
    2x = - 3
    x = - 3/2
    hp = {- 3/2 , 4}

    2) 2x + 2y + 2 = 0
    2y = - 2x - 2
    3x + 4y - 1 = 0
    3x + 2(-2x - 2) - 1 = 0
    3x - 4x - 4 - 1 = 0
    - x - 5 = 0
    - x = 5
    x = - 5
    2y = - 2x - 2
    2y = - 2(-5) - 2
    2y = 10 - 2
    2y = 8
    y = 4
    hp = {-5,4}

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