Matematika

Pertanyaan

jika pembilang dari suatu
jika pembilang dari suatu

1 Jawaban


  • [tex] \frac{a + 3}{b + 8} = \frac{1}{3} \\ \frac{a + 2}{b - 1} = \frac{5}{6} [/tex]
    (a + 3) ÷ (a + 8) = ⅓
    b + 8 = 3(a + 3)
    b + 8 = 3a + 9
    b - 3a = 9 - 8
    b - 3a = 1

    (a + 2) ÷ (b - 1) = 5/6
    5(b - 1) = 6(a + 2)
    5b - 5 = 6a + 12
    5b - 6a = 12 + 5
    5b - 6a = 17

    5b - 6a = 17|× 1
    b - 3a = 1|× 2

    5b - 6a = 17
    2b - 6a = 2
    ________—
    3b = 15
    b = 5

    b - 3a = 1
    5 - 3a = 1
    - 3a = 1 - 5
    - 3a = - 4
    a = 4/3

    4/3 ÷ 5
    = 4/3 × 1/5
    = 4/15

    Jawaban : e. 4/15

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