Matematika

Pertanyaan

Soal psldv ini dengan metode eliminasi dan subtitusi
3X - Y = 5
X + 3 Y = 5

1 Jawaban

  • metode eliminasi
    3x - y = 5 ........ (dikali 1)
    x + 3y = 5 ........(dikali 3)
    ..
    3x - y = 5
    3x + 9y = 15
    ------------------ --
    - 10y = - 10
    y = -10/-10
    y = 1

    3x - y = 5 ........ (dikali 3)
    x + 3y = 5 ........(dikali 1)
    ..
    9x - 3y = 15
    x + 3y = 5
    ------------------ +
    10x = 20
    x = 20/10
    x = 2

    jadi x = 2, y = 1

    metode SUBSTITUSI
    3x - y = 5 .... y = 3x -5
    x + 3y = 5

    y = 3x - 5 substitusi ke x + 3y = 5
    x + 3(3x -5) = 5
    x + 9x - 15 = 5
    10x = 5 + 15
    10x = 20
    x = 20/10
    x = 2

    x = 2 substitusi ke x + 3y = 5
    2 + 3y = 5
    3y = 5 - 2
    3y = 3
    y = 1

    x = 2, y = 1

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