Functions Question 437

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

Options:

A) $ 7x-3y $

B) $ 7x+3y $

C) $ 3x-7y $

D) $ 3x+7y $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Let $ 2x+3y=A $ and $ 2x-7y=B $ Then, $ 7A+3B=20x $
$ \therefore f(A,B)=7A+3B $
$ \therefore f(x,y)=7x+3y $