Matematika

Pertanyaan

diketahui sistem persamaan 3x+7y=1dan2x-3y=16.tentukan nilai xy

1 Jawaban

  • 3x + 7y = 1 (x2) 6x + 14y = 2
    2x - 3y = 16 (x3) 6x - 9y = 48

    eliminasi x
    14y - (-9y) = 2- 48
    14y + 9 y = - 46
    23 y = - 46
    y = (-46) / 23 = -2

    subtitusi y
    2x - 3y = 16
    2x - 3(-2) = 16
    2x - (-6) = 16
    2x + 6 = 16
    2x = 16 -6 = 10
    x = 10/2 = 5

    x. y = 5 . (-2) = -10

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