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Question
Given, `a/b = c/d`, prove that: `(3a - 5b)/(3a + 5b) = (3c - 5d)/(3c + 5d)`
Solution
`a/b = c/d`
`(3a)/(5b) = (3c)/(5d)` ...`("Multiplying each side by" 3/5)`
`(3a + 5b)/(3a - 5b) = (3c + 5d)/(3c - 5d)` ...(By componendo and divdendo)
`(3a - 5b)/(3a + 5b)= (3c - 5d)/(3c + 5d)` ...(By invertendo)
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