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If 7x – 15y = 4x + Y, Find the Value of X: Y. Hence, Use Componendo and Dividend to Find the Values Of: (3x^2 + 2y^2)/(3x^2 - 2y^2) - ICSE Class 10 - Mathematics

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Question

If 7x – 15y = 4x + y, find the value of x: y. Hence, use componendo and dividend to find the values of:

`(3x^2 + 2y^2)/(3x^2 - 2y^2)`

Solution

7x - 15y = 4x + y

7x - 4x = y + 15y

3x = 16y

`x/y = 16/3`

`=> x^2/y^2 = 256/9`

`=> (3x^2)/(2y^2) = (768)/18 = 128/3`   (Multiplying both sides by 3/2)

`=> (3x^2 + 2y^2)/(3x^2 - 2y^2) = (128 + 3)/(128 - 3)`   (Applying componendo and dividendo)

`=> (3x^2 + 2y^2)/(3x^2 - 2y^2) = 131/125`

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APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7D | Q: 20.2

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Solution If 7x – 15y = 4x + Y, Find the Value of X: Y. Hence, Use Componendo and Dividend to Find the Values Of: (3x^2 + 2y^2)/(3x^2 - 2y^2) Concept: Componendo and Dividendo Properties.
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