Matematika

Pertanyaan

Tentukan penyelesaian dari persamaan linear berikut
1. 4 a + 5 = 37
2. 8x -8 = -24
3. 2x -1/2 =2/3
4. -3/4 y =-3/8
5. 1/4 a = 2/3
6. p/3 =-1
7. 5p -8 =7p +12
8. 9 - 2y = 4y-6
9. 4 ( y -3 ) =11 y +7
10. 5 ( y + 2 ) =9 y-15

1 Jawaban

  • 1) 4a + 5 = 37
    4a = 37 - 5
    4a = 32
    a = 8

    2) 8x - 8 = - 24
    8x = - 24 + 8
    8x = - 16
    x = - 2

    3) 2x - ½ = ⅔
    2x = ½ + ⅔
    2x = 3/6 + 4/6
    2x = 7/6
    x = 7/6 ÷ 2
    x = 7/6 × ½
    x = 7/12

    4) - ¾y = - 3/8
    y = - 3/8 ÷ - ¾
    y = - ⅜ × -4/3
    y = ½

    5) ¼a = ⅔
    a = ⅔ ÷ ¼
    a = ⅔ × 4/1
    a = 8/3

    6) p/3 = - 1
    p = - 1 × 3
    p = - 3

    7) 5p - 8 = 7p + 12
    5p - 7p = 12 + 8
    - 2p = 20
    p = - 10

    8) 9 - 2y = 4y - 6
    - 2y - 4y = - 6 - 9
    - 6y = - 15
    y = - 15/-6
    y = 5/2

    9) 4 ( y - 3) = 11y + 7
    4y - 12 = 11y + 7
    4y - 11y = 7 + 12
    - 7y = 19
    y = - 19/7

    10) 5 ( y + 2 ) = 9y - 15
    5y + 10 = 9y - 15
    5y - 9y = - 15 - 10
    - 4y = - 25
    y = 25/4

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