Matematika

Pertanyaan

x - y + 2z =5
2x + y -z =9
x - 2y + 3x = 4

1 Jawaban

  • X - y + 2z =5........(1)
    2x + y -z =9.........(2)
    x - 2y + 3x = 4......(3)

    jawab:            x - y + 2z =5
                          x - 2y + 3z = 4
                         --------------------(-)
                                     y - z = 1.........(4)


    x - y + 2z =5    (x2)      2x-2y +4z = 10
    2x + y -z =9     (x1)      2x + y - z  = 9
                                       
    --------------------(-)
                                      -3y + 5z = 1.......(5)

    y - z = 1         (x3)      3y - 3z = 3
    -3y+5z=1       (x1)     -3y + 5z= 1
                                     -----------------(+)
                                             2z = 4
                                               z = 2

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

    x - y + 2z = 5
    x - 3 + 2(2) = 5
    x - 3 + 4 = 5
         x + 1  = 5
               x  = 4

    jadi, x =4
            y= 3
            z=2

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