Matematika

Pertanyaan

Tentukan himpunan penyelesaian dengan substitusi :
A. 4x + 3y = 34
5x + y = 37

B. 2x + 3y = 1
3x + y = 5

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1 Jawaban

  • A. Penyelesaian
    (1) 4x + 3y = 34
    (2) 5x + y = 37

    Substitusikan! cari x!
    4x + 3y = 34 |×1
    5x + y = 37 |×3

    4x + 3y = 34
    15x + 3y = 111
    ___________ -
    -11x = -77
    x = 7

    Cari y!
    4(7) + 3y = 34
    28 + 3y = 34
    3y = 6
    y = 2

    B. Penyelesaian
    (1) 2x + 3y = 1
    (2) 3x + y = 5

    Substitusikan! Cari x!
    2x + 3y = 1 |×1
    3x + y = 5 |×3

    2x + 3y = 1
    9x + 3y = 15
    __________ -
    -7x = -14
    x = 2

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

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