Matematika

Pertanyaan

diketahui sistem persamaan linear
x + y = 3
2x - z = 3
y - 2z = 4
nilai x (y + z) adalah....

1 Jawaban

  • x + y = 3 x2
    2x - z = 3 x1

    2x + 2y = 6
    2x - z = 3
    ____________ -
    2y + z = 3

    y - 2z = 4 x1
    2y + z = 3 x2

    y - 2z = 4
    4y + 2z = 6
    ___________ +
    5y = 10
    y = 2

    y-2z = 4
    2 - 2z = 4
    -2z = 2
    z = -1

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

    y + z = 2--1 = 2 + 1 = 3

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