If 7x – 15y = 4x + y, find the value of x: y. Hence, use componendo and dividend to find the values of:
`(9x + 5y)/(9x - 5y)`
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Solution
7x – 15y = 4x + y
7x - 4x = y + 15y
3x = 16y
`x/y = 16/3`
`=> (9x)/(5y) = 144/15` (Multiplying both sides by 9/5)
`=> (9x + 5y)/(9x - 5y) = (144 + 15)/(144 - 15)` (Applying componendo and dividenfo)
`=> (9x + 5y)/(9x - 5y) = (159)/(129) = 53/43`
Concept: Componendo and Dividendo Properties
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