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Simplify frac 3x - y xy - frac 2x 3y 2xy frac 1... - WAEC Mathematics 2015 Question

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 option: d

\(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)

= \(\frac{2(3x - y) - 1(2x + 3y) + xy}{2xy}\)

= \(\frac{6x - 2y - 2x - 3y + xy}{2xy}\)

= \(\frac{4x - 5y + xy}{2xy}\)

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