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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) - 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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Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(D) | Q: 16.2 | Page no. 102

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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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