Matematika

Pertanyaan

Tentukan penyelesaian dari SPLDV berikut dengan metode eliminasi a.x+4y=10 2x+5y=12 b.2x+4y=2 3x-2y=-8 c.2x+3y=-4 3x-2y=-19

1 Jawaban

  • a) x + 4y = 10 |×2
    2x + 5y = 12
    maka
    2x + 8y = 20
    2x + 5y = 12
    -------------------(-)
    3y = 8
    y = 8/3
    • x + 4y = 10 |×5
    2x + 5y = 12 |×4
    maka
    5x + 20y = 50
    8x + 20y = 48
    ---------------------(-)
    3x = 2
    x = ⅔
    hp = ( ⅔ , 8/3 )

    b) 2x + 4y = 2
    3x - 2y = - 8 |×2
    maka
    2x + 4y = 2
    6x - 4y = - 16
    -------------------(+)
    8x = - 14
    x = - 14/8
    x = - 7/4
    • 2x + 4y = 2 |×3
    3x - 2y = - 8 |×2
    maka
    6x + 12y = 6
    6x - 4y = - 16
    -------------------(-)
    16y = 22
    y = 22/16
    y = 11/8
    hp = ( - 7/4 , 11/8 )

    c) 2x + 3y = - 4 |×2
    3x - 2y = - 19 |×3
    maka
    4x + 6y = - 8
    9x - 6y = - 57
    -------------------(+)
    13x = - 65
    x = - 5
    • 2x + 3y = - 4 |×3
    3x - 2y = - 19 |×2
    maka
    6x + 9y = - 12
    6x - 4y = - 38
    --------------------(-)
    13y = 26
    y = 2
    hp = ( -5,2 )

Pertanyaan Lainnya