Matematika

Pertanyaan

Tentukan himpunan penyelesaian SPLDV berikut dengan cara substitusi!
A.4x+2y=8 dan x+2y=4
B.5a-b=3 dan a+b=2

1 Jawaban

  • A.
    4x + 2y = 8
    x + 2y = 4

    x + 2y = 4
    x = 4 - 2y

    4x + 2y = 8
    4(4 - 2y) + 2y = 8
    16 - 8y + 2y = 8
    - 6y = 8 - 16
    - 6y = - 8
    y = 8/6
    y = 1⅓

    x = 4 - 2y
    x = 4 - 2⅔
    x = 1⅓

    B.
    5a - b = 3
    a + b = 2

    a + b = 2
    a = 2 - b

    5a - b = 3
    5(2 - b) - b = 3
    10 - 5b - b = 3
    - 6b = 3 - 10
    - 6b = - 7
    b = 7/6
    b = 1 1/6

    a = 2 - b
    a = 2 - 7/6
    a = 5/6

    Maaf Kalau Salah

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