.If a / b = b / 2 then find the value of the ratio 5a + 3b / 7a - 2b.
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Answer:
5b + 6 / 7b - 4
Step-by-step explanation:
Given,
==> a/b = b/2
==> b² = 2a
==> a = b²/2
To find:
5a + 3b / 7a - 2b
Substitute a = b²/2
==> 5(b²/2) + 3b / 7(b²/2) - 2b
==> [ (5b²/2) + 3b ] / [ (7b²/2) - 2b ]
==> [ (5b² + 6b)/2 ] / [ (7b² - 4b)/2 ]
==> [ (5b² + 6b)/2 ] x [ 2 / (7b² - 4b) ]
==> (5b² + 6b) / (7b² - 4b)
==> b(5b + 6) / b(7b - 4)
==> 5b + 6 / 7b - 4
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