Question 37

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waecmaths question: 

Simplify $\frac{3x-y}{xy}-\frac{2x+3y}{2xy}+\frac{1}{2}$ 

Option A: 

$\frac{4x+5y-xy}{2xy}$

Option B: 

$\frac{5y-4x+xy}{2xy}$

Option C: 

$\frac{5x+4y-xy}{2xy}$

Option D: 

$\frac{4x-5y+xy}{2xy}$

waecmaths solution: 

$\begin{align}  & \frac{3x-y}{xy}-\frac{2x+3y}{2xy}+\frac{1}{2}=\frac{2(3x-y)-(2x+3y)+xy}{2xy} \\ & \frac{3x-y}{xy}-\frac{2x+3y}{2xy}+\frac{1}{2}=\frac{6x-2y-2x-3y+xy}{2xy} \\ & \frac{3x-y}{xy}-\frac{2x+3y}{2xy}+\frac{1}{2}=\frac{4x-5y+xy}{2xy} \\\end{align}$

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