Matematika

Pertanyaan

tentukan himpunan penyelesaian dari a. 3x +2y=10 dan -x+3y=4
b.x+2y=3 dan 3x-y=-5

1 Jawaban

  • A. 3x + 2y = 10 [1]     3x + 2y = 10
        -x  + 3y = 4   [3]    -3x + 9y = 12
                                     ____________+
                                            11y = 22
                                                y = 2

        y = 2 ----->  3x + 2y = 10
                         3x + 2(2) = 10                      HP (2,2)
                             3x + 4 = 10
                                   3x = 10 -4
                                   3x = 6
                                     x = 2

    B.  x + 2y = 3   [3]      3x + 6y = 9
        3x -  y  = -5  [1]      3x - y    = -5
                                      __________-
                                               7y = 14
                                                 y = 2

    y = 2 ----> 3x - y = -5
                      3x -2 = -5                  HP (-1,2)
                          3x = -5 + 2
                           3x = -3
                             x = -1

Pertanyaan Lainnya