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Question
If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find y, if x = 33
Solution
`(2"y"+5"x")/(3"y"-5"x")=5/2`
Given x = 33
`(2"y"+5xx33)/(3"y"-5xx33)=5/2`
⇒ `(2"y"+165)/(3"y"-165)=5/2`
⇒ 2 × (2y + 165) = 5 × (3y − 165)
⇒ 4y + 330 = 15y − 825
⇒ 11y = 1155
⇒ y = `1155/11` = 105
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