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

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

  1. A

    7x-3y

  2. B

    7x+3y

  3. C

    3x-7y

  4. D

    x-y

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    Solution:

    Let f(x, y) =ax+by
    Then, 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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