Question
If (4x + 3y): (28x - y) = 1: 5, then what is the value
of (3x 2 Â + 4y 2 ): (7x 2 Â + 2y 2 )?Solution
(4x + 3y): (28x - y) = 1: 5
5(4x + 3y) = 28x - y
20x + 15y = 28x - y
x = 2y
Now, (3x 2 Â + 4y 2 ): (7x 2 Â + 2y 2 )
= (3 * (2y) 2 Â + 4y 2 ): (7 * (2y) 2 Â + 2y 2 ) =Â 8: 15
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