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Question
If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find x, if y = 70
Solution
`(2"y"+5"x")/(3"y"-5"x")=5/2`
Given y = 70
`(2xx70+5"x")/(3xx70-5"x")=5/2`
⇒ `(140+5"x")/(210-5"x")=5/2`
⇒ 2 × (140 + 5x) = 5 × (210 − 5x)
⇒ 280 + 10x = 1050 − 25x
⇒ 35x = 1050 − 280
⇒ 35x = 770
⇒ x =`770/35` = 22
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