Matematika

Pertanyaan

tentukan himpunan penyelesaian dari persamaan linear satu variabel dibawah ini:
a) x - 9 = 20
b) 9 (6x + 15) = 6x + 9
c) 3 (2x + 5) = 2x + 3
d) 6x - 9 = 2x + 7
e) 18x _ 27 = 6x + 21
f) 2/3x + 10 = x + 6
g) 1/4x + 5 = x+3

1 Jawaban

  • a. x-9 = 0
    x = 0+9
    x = 9

    b. 9(6x+15) = 6x+9
    54x+135 = 6x+9
    54x-6x = 9-135
    48x = -126
    x = -126/48
    x = -21/8
    5
    x = -2---
    8

    c. 3(2x+5) = 2x+3
    6x+15 = 2x+3
    6x-2x = 3-15
    3x = -12
    x = -12/3
    x = -4

    d. 6x-9 = 2x+7
    6x-2x = 7+9
    3x = 16
    x = 16/3
    1
    x = 5---
    3

    e. 18x-7 = 6x+21
    18x-6x = 21+7
    12x = 28
    x = 28/12
    x = 7/3
    1
    x = 2---
    3

    f. 2/3x +10 = x+6
    2x+30 = 3x+18
    2x-3x = 18-30
    -x = -12
    x = 12

    g. 1/4x +5 = x+3
    1x+20 = 4x+12
    x-4x = 12-20
    -3x = -8
    x = -8/-3
    x = 8/3
    2
    x = 2---
    3

    semoga membantu.........^^

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