Matematika

Pertanyaan

Nilai x yang memenuhi sistem persamaan 5(x-2y)-3(x-3y)=-1 Dan 3(y-x) + 2+x-y)=2 adalah
A.-40
B.-1
C.1
D.3
Tolong jalan ya

1 Jawaban

  • 5(x-2y) - 3(x-3y) =  -1  <---> 5(x-2y) - 3(x-3y) = -1
                                                5x - 10y - 3x + 9y = -1
                                                  2x -y = -1  ..............(i)
    3(y-x) + 2(x-y) = 2   <--> 3(y-x) + 2(x-y) = 2
                                            3y -3x + 2x -2y = 2
                                              y - x =2
                                             -x + y = 2 ..........(ii)
    eliminasi y
    2x - y = -1
    -x +y  = 2
    -------------  +
     x    = 1 ....................(C)

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