Matematika

Pertanyaan

Cari nilai x, y, z dari:
a. x + y = 470
-x + z = 685
-y + 2z = 630

b. x + y + z = 11
-2x + y + 3z = 12
5x - 2z = 1

1 Jawaban

  • a. x + y = 470
    -x + z = 685
    -y + 2z = 630

    x + y = 470
    -x + z = 685
    --------------- +
    y + z = 1155

    y + z = 1155
    -y + 2z = 630
    --------------- +
    3z = 1785
    z = 595

    y + z = 1155
    y + 595 = 1155
    y = 1155 - 595
    y = 560

    x + y = 470
    x + 560 = 470
    x = 470 - 560
    x = -90

    jadi nilai x = -90, y = 560, dan z = 595

    b. x + y + z = 11
    -2x + y + 3z = 12
    5x - 2z = 1

    x + y + z = 11
    -2x + y + 3z = 12
    --------------- -
    3x - 2z = -1

    3x - 2z = -1
    5x - 2z = 1
    --------------- -
    -2x = -2
    x = 1

    3x - 2z = -1
    3 - 2z = -1
    -2z = -1 - 3
    -2z = -4
    z = 2

    x + y + z = 11
    1 + y + 2 = 11
    3 + y = 11
    y = 8

    jadi nilai x = 1, y = 8, dan z = 2

    semoga membantu :)

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