Matematika

Pertanyaan

Himpunan penyelesain persamaan linear 2x+4y=8 dan 5x+2y=16 adalah

2 Jawaban

  • 2x + 4y = 8 (×1)  2x + 4y = 8
    5x + 2y = 16 (×2) 10x + 4y = 32
    ___________________________ -
                         -8x = -24
                            x = 3

    2x + 4y = 8
    2(3) + 4y = 8
    4y = 2
    y = 1/2

    HP = {3,1/2)
  • 2x + 4y = 8 (×5) 10x + 20y = 40
    5x + 2y = 16 (×2) 10x + 4y = 32
    ___________________________ -
                                   16y = 8
                                       y = 8/16
                                       y = 1/2

    2x + 4y = 8
    2x + (4 . 1/2) = 8
    2x + 2 = 8
    2x = 8 - 2
    2x = 6
    x = 6/2
    x = 3

    Himpunan penyelesaian = {x,y} = {3,1/2}

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