Simplify: (frac{3x – y}{xy} – frac{2x + 3y}{2xy} + frac{1}{2})
-
A.
(frac{4x + 5y – xy}{2xy}) -
B.
(frac{5y – 4x + xy}{2xy}) -
C.
(frac{5x + 4y – xy}{2xy}) -
D.
(frac{4x – 5y + xy}{2xy})
Correct Answer: Option D
Explanation
(frac{3x – y}{xy} – frac{2x + 3y}{2xy} + frac{1}{2})
= (frac{2(3x – y) – 1(2x + 3y) + xy}{2xy})
= (frac{6x – 2y – 2x – 3y + xy}{2xy})
= (frac{4x – 5y + xy}{2xy})