Matematika

Pertanyaan

1. 1/3(x-2)=2/3x-13/3

2. 2(1/2x+3/2)-7/2=3/2(x+1)-(1/2x+2)

tentukan himpunan penyelesaian dari persamaan linear berikut!

2 Jawaban

  • 1.1/3 ( x-2) = 2/3x - 13/3
    1/3x - 2/3 = 2/3x -13/3
    1/3x - 2/3x = -13/3 + 2/3
      -1/3x        = - 11/3
           x         = -11/3 : -1/3
           x         = -11/3 x -3/1
           x         = 33/3
           x         = 11
    2.2(1/2x+3/2)-7/2=3/2(x+1)-(1/2x+2) 
    x+3-7/2=3/2x+(1/2+2) => semua dikali 2
    2x+6-7= 3x+x+2 
    2x-4 = -6+7+2
    -2x=3
    x=-2/3
  • 1.(⅓(x-2) = ⅔x-13/3).3
    x-2 = 2x-13
    x-2x = -13+2
    -x = -11
    x = 11

    2.(2(1/2+3/2)-7/2 = 3/2(x+1)-(1/2x+2)).2
    2+6-7=3x+3-x+4
    -3x+x=3+4-2-6+7
    -2x=6
    x=6/-2
    x=3
    Semoga membantu

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