Matematika

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SPLTV Tentukan nilai x + y + z dari persamaan : 2x + 3y + z = 6 3x + 2y + z = 7 X + 2y - z = 5
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  • 2x + 3y + z = 6
    3x + 2y + z = 7
    ____________ -
    -x + y = -1

    3x + 2y + z = 7
    x + 2y - z = 5
    ___________+
    4x + 4y = 12 (:4)

    -x + y = -1
    x + y = 3
    ________+
    2y = 2
    y = 1

    x + y = 3
    x = 3 - 1
    x = 2

    x + 2y - z = 5
    2 + 2 - z = 5
    z = 4 - 5
    z = -1

    x + y + z = 2 + 1 - 1 = 2

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