Matematika

Pertanyaan

2y - 3z = -7
x + y = 1
3x + 2z = 6
2y - 3z = -7 x + y = 1 3x + 2z = 6

1 Jawaban

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

    eliminasi 1 dan 2
    2y - 3z = -7 l x 1 l     2x - 3z = -7
    x + y = 1     l x 2 l     2x + 2y = 2
                                   ----------------- -
                                    3z - 2y = -9   (4)
    eliminasi 4 dan 3
    3z - 2y = -9 l x 2 l   6z - 4y = -18
    3x + 2z = 6 l x 3 l   9x + 6z = 18
                                  ----------------- -
                                  9x + 4y = -36 (5)
    eliminasi 5 dan 2
    9x + 4y = -36 l x 1 l  9x + 4y = -36
    x + y = 1        l x 4 l  4x + 4 y = 4
                                    ------------------ -
                                    5x = -40
                                      x = -8
    x + y = 1
    -8 + y = 1
    y = 9

    3x + 2z = 6
    3(-8) + 2z = 6
    2z = 30
    z = 15


    itu kalau yang dicari nilai x,y, dan z nya
    maaf kalau salah