Question

If a\b = 4\3 and c\d = 9\14 , then find the value of (3ac - bd) \ (4bd - 7ac).

Answer 1

By applying componendo & dividendo rule:
$\frac{a + b}{a - b} = - \frac{7}{1}$
$\frac{c + d}{c - d} = - \frac{23}{6}$
a+b= -7a + 7b 6c+6d= -23c+23d
8a=6b 29c=17d
4a=3b 29c/17 = d
4a/3 =b



3ac - (4a/3)(29c/17)
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(4)(4a/3)(29c/17) - 7ac

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Answer 2

Answer:

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