Matematika

Pertanyaan

3p - 2q = 6 dan 5p + 3q = 29 metode subtitusi

1 Jawaban

  • 3p - 2q = 6
    3p = 6 + 2q
    p = 6 + 2q/3

    Subtitusikan
    5p + 3q = 29
    5(6+2q/3) + 3q = 29
    30 + 10q/3 + 3q = 29
    30 + 10q + 9q = 29×3
    30 + 19q = 87
    19q = 87-30
    19q = 57
    q = 57/19
    q = 3

    Subtitusi lagi
    p = 6 + 2q/3
    p = 6 + 2(3)/3
    p = 6 + 6/3
    p = 12/3
    p = 4

    Himpunan penyelesaian {p, q} = {4,3}

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