Matematika

Pertanyaan

a) -8x +4y -3z = -2 b) 2x- 3y + 2z = -10 c) 5x- y = 11

1 Jawaban

  • -8x +4y -3z = -2 ..... (1)
    2x- 3y + 2z = -10 ......(2)
    5x- y = 11 .... (3)

    eliminasi (1) dan (2)
    -8x +4y -3z = -2 ....(x2)
    2x- 3y + 2z = -10 ....(x3)
    sehingga
    -16x + 8y - 6 z = -4
    6x - 9y + 6z = -30
    ..,.................................. +
    -10x - y = -34 ......(4)

    elimnasi (3) dan (4)
    5x- y = 11
    -10x - y = -34
    ......................... –
    15x = 45
    x = 45/15
    x = 3

    substitusi x = 3 ke (3)
    5x - y = 11
    5(3) - y = 11
    15 - y = 11
    y = 15 - 11
    y = 4

    substitusi x = 3 dan y = 4 ke (2)
    2x- 3y + 2z = -10
    2(3) - 3(4) + 2z = -10
    6 - 12 + 2z = -10
    -6 + 2z = -10
    2z = -10 + 6
    2z = -4
    z = -4/2
    z = -2

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