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Questions  

If f (2x+3y, 2x-7y) =20x then f(x, y) equals

a
7x-3y
b
7x+3y
c
3x-7y
d
x-y

detailed solution

Correct option is B

Let f(x, y) =ax+byThen, f (2x + 3y,2x-7y)=20x= a( 2x+3y) + b(2x-7y) =20x∴ 2a + 2b =20 and 3a -7b =0∴ a = 7 and b = 3∴ f(x ,y) = 7x + 3y

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