Matematika

Pertanyaan

2x-y+2z=12
X+y+z=12
3x+2y-z=8

1 Jawaban

  • *) 2x -   y + 2z = 12
       2x + 2y + 2z = 24
       ----------------------- --
                      -3y = -12
                         y = 4

    *) x + y + z = 12
        x + 4 + z = 12
              x + z = 12 - 4
              x + z = 8............. pers. (1

    *) 3x + 2y    - z = 8
        3x + 2(4) - z = 8
                  3x - z = 8 - 8
                  3x - z = 0........ pers. (2

    *) dari pers. 1 dan pers. 2
        3x - z = 0
         x + z = 8
        ------------ +
             4x = 8
               x = 2

    *) x + y + z = 12
        2 + 4 + z = 12
              6 + z = 12
                    z = 12 - 6
                    z = 6

    jadi, x = 2, y = 4, z = 6

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