Matematika

Pertanyaan

x-y=0 dan 1/3x+1/2y=5 tentukan penyelesaian sistem persamaan subtitusi dan eliminasi

1 Jawaban

  • x - y = 0
    [tex] \frac{1}{3}x + \frac{1}{2}y = 5 \\ \\ dikali \: 6 \\ \\ 2x + 3y =30 [/tex]
    Subtitusi =
    x - y = 0
    x = y

    2x + 3y = 30
    2(y) + 3y = 30
    5y = 30
    y = 6

    x - y = 0
    x - 6 = 0
    x = 6

    Eliminasi =
    2(x - y = 0)
    1(2x + 3y = 30)

    2x - 2y = 0
    2x + 3y = 30
    __________-
    -5y = -30
    y = 6

    x - y = 0
    x - 6 = 0
    x = 6

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