Simplify: \(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)
MATHEMATICS
WAEC 2015
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: D. \(\frac{4x - 5y + xy}{2xy}\)
Explanation
\(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)
= \(\frac{2(3x - y) - 1(2x + 3y) + xy}{2xy}\)
= \(\frac{6x - 2y - 2x - 3y + xy}{2xy}\)
= \(\frac{4x - 5y + xy}{2xy}\)
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