Matematika

Pertanyaan

tentukan himpunan penyelesaian dari
1.)12+3x=5+2x
2.)3(x+2)=2(x+5)
3.)5(x-1)=4x
4.)3(3-2x)=15-7x
5.)8-(2-4x)=7x-1
6.)5x+7(3x+2)=6(4x+1)
7.)2x+1=x-3
8.)-2x+5=(x+9)
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1 Jawaban

  • 1) 12 + 3x = 5 + 2x
    3x - 2x = 5 - 12
    x = - 7

    2) 3(x + 2) = 2 (x + 5)
    3x + 6 = 2x + 10
    3x - 2x = 10 - 6
    x = 4

    3) 5 (x - 1) = 4x
    5x - 5 = 4x
    5x - 4x = 5
    x = 5

    4) 3 (3 - 2x) = 15 - 7x
    9 - 6x = 15 - 7x
    - 6x + 7x = 15 - 9
    x = 6

    5) 8 - (2 - 4x) = 7x - 1
    6 - 4x = 7x - 1
    6 + 1 = 7x + 4x
    11x = 7
    x = 7 / 11

    6) 5x + 7(3x + 2) = 6 (4x + 1)
    5x + 21x + 14 = 24x + 6
    26x + 14 = 24x + 6
    26x - 24x = 6 - 14
    2x = - 8
    x = - 4

    7) 2x + 1 = x - 3
    2x - x = -3 - 1
    x = - 4

    8) - 2x + 5 = x + 9
    - 2x - x = 9 - 5
    - 3x = - 4
    x = 4/3

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