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If ab=23, find 5a-bb - Algebra

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Question

If `a/b = 2/3`, find `(5a - b)/b`

Sum

Solution

Given: `a/b = 2/3`

Multiplying both sides by 5

`5 xx a/b = 5 xx 2/3`

⇒ `(5a)/b = 10/3`

We obtain using dividendo

`(5a - b)/b = (10 - 3)/3`

⇒ `(5a - b)/b = 7/3`

Hence, the value of `(5a - b)/b` is `7/3`.

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