Matematika

Pertanyaan

2x-y-5=0 dan x+2y-1=0

1 Jawaban

  • 2x - y - 5 = 0
    2x - y = 5 ... Persamaan (1)
    x + 2y -1 = 0
    x + 2y = 1 ... Persamaan (2)

    Eleminasi Pers (1) dan (2)
    2x - y = 5 dikali 2
    x + 2y = 1 dikali 1

    4x -2y = 10
    x + 2y = 1
    ................... +
    5x = 11
    x = 11/5

    Substitusikan ke pers (2)
    x + 2y = 1
    11/5 + 2y = 1
    2y = 1 - 11/5
    2y = 5/5 - 11/5
    2y = -6/5
    y = -6/5 : 2
    y = -6/5 × 1/2
    y= -6/10
    y = -3/5

    Hp {11/5, -3/5}

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