Matematika

Pertanyaan

selesaikan sistem persamaan berikut ini dengan metode eliminasi (a) 2x - 3y= 15
4y = 3x -19
(b) x + 5y =10
3x - 4y = 12

1 Jawaban

  • a)
    2x - 3y = 15 --> 2x - 3y = 15 --> 6x - 9y = 45
    4y = 3x - 19 --> 3x - 4y = 19 --> 6x - 8y = 38

    6x - 9y = 46
    6x - 8y = 38
    ___________ (-)
    -y = 7
    y = - 7

    2x - 3y = 15
    2x - 3.(-7) = 15
    2x + 21 = 15
    2x = -6
    x = -3

    b)
    x + 5y = 10 --> 3x + 15y = 30
    3x - 4y = 12 --> 3x - 4y = 12

    3x + 15y = 30
    3x - 4y = 12
    ___________(-)
    19y = 18
    y = 18/19

    x + 5y = 10
    x + 5. 18/19 = 10
    x + 90/19 = 10
    x = 10 - 90/19
    x = 100/19
    x = 5 5/19

    semoga bisa bantu ya

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