jika pembilang dari suatu
Matematika
rahma1378
Pertanyaan
jika pembilang dari suatu
1 Jawaban
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1. Jawaban Arkan5283
[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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