Question

if (15x+7y)/(7x+15y)=29/37, then (15x^2 +7y^2)/(7x^2 + 15y^2) =​

Answer 1

(15x² + 7y²)/(7x² + 15y²)  = 43/67   if

(15x + 7y)/(7x  + 15y)  = 29/37

Step-by-step explanation:

(15x + 7y)/(7x  + 15y)  = 29/37

=> 37(15x  + 7y) = 29(7x + 15y)

=> x( 37 * 15 - 29*7) = y(29*15  - 37*7)

=> 352x  = 176y

=> 2x = y

=> y = 2x

(15x² + 7y²)/(7x² + 15y²)

= ( 15x² + 7(2x)²)/(7x² + 15(2x)²)

= (15x² + 28x²)/(7x² + 60x²)

= 43x²/67x²

= 43/67

(15x² + 7y²)/(7x² + 15y²)  = 43/67

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