Matematika

Pertanyaan

diketahui 2x+2y-3z=-4 2x-y+z=3 3x+y+z=10 berapakah nilai x y dan z

1 Jawaban

  • 2x-y+z = 3
    3x+y+z = 10
    _________ _
    -x-2y = -7
    -2y+7 = x

    2x+2y-3z = -4 |×1|
    2x-y+z = 3 |×3|
    menjadi
    2x+2y-3z = -4
    6x-3y+3z = 9
    __________ +
    8x-y = 5
    8(-2y+7)-y = 5
    -16y+56-y = 5
    -17y = 5-56
    -17y = -51
    y = 3

    x = -2y+7
    x = -2(3)+7
    x = -6+7 = 1

    2x-y+z=3
    2(1)-(3)+z = 3
    2-3+z = 3
    -1+z = 3
    z = 4

    x = 1
    y = 3
    z = 4

    semoga membantu yaa:)

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