Matematika

Pertanyaan

3x+5y=15 dan x+2y=6 tentukan substitusi campuran dan eliminasi

2 Jawaban

  • 3x+5y=15
    x+2y=6 | x3
    ------------------
    3x+5y=15
    3x+6y=18
    -------------- -
    -y = -3
    y = 3

    x+2y=6
    x+2(3)=6
    x=6-6
    x=0
  • 3x + 5y = 15 |×2|
    x + 2y = 6 |×5|


    6x + 10y = 30
    5x + 10y = 30
    y hangus dan sistem operasi (-)
    6x - 5x = 1x
    30 - 30 = 0
    1x = 0
    x = 0/1
    x = 0

    Substitusi :
    3x + 5y = 15
    3(0) + 5y = 15
    0 + 5y = 15
    y = 15/5
    y = 3.

    HP = { x , y }
    { 0 , 3 }

    Pembuktian :
    x + 2y = 6
    0 + 2(3) = 6
    6 = 6
    :)

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