If x≠7 and (x^2 - 49)/(2y) = (x - 7)/4, then in terms of y, x = ? Options:
A) (y - 6)/2  B) (y - 3)/2  C) y - 3  D) y - 6  E) (y - 14)/2
Since (x^2 – 49)=(x-7)(x+7) the original equation can be changed into 4*(x-7)(x+7) = 2y *(x-7).   By cancelling 2(x-7) (we can do it because x≠7) we get :   2*(x+7)=y.   So x=(y-14)/2. So the answer is (y - 14)/2).
<result>E</result>
If x≠7 and (x^2 - 49)/(2y) = (x - 7)/4, then in terms of y, x = ?