Simplify: \(\frac{3x – y}{xy} – \frac{2x + 3y}{2xy} + \frac{1}{2}\)
- \(\frac{4x + 5y - xy}{2xy}\)
- \(\frac{5y - 4x + xy}{2xy}\)
- \(\frac{5x + 4y - xy}{2xy}\)
-
\(\frac{4x - 5y + xy}{2xy}\)
The correct answer is: D
Explanation
\(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)
= \(\frac{2(3x - y) - 1(2x + 3y) + xy}{2xy}\)
= \(\frac{6x - 2y - 2x - 3y + xy}{2xy}\)
= \(\frac{4x - 5y + xy}{2xy}\)