Question 43

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waecmaths question: 

Find the value of P if $\tfrac{1}{4}p+3q=10$and $2p-\tfrac{1}{3}q=7$ 

Option A: 

4

Option B: 

3

Option C: 

–3

Option D: 

–4

waecmaths solution: 

$\begin{align}  & \tfrac{1}{4}p+3q=10---(i) \\ & 2p-\tfrac{1}{3}q=7----(ii) \\ & \text{Multiply }(ii)\text{ by 9} \\ & 18p-3q=63----(iii) \\ & \text{Add }(i)\text{ and }(iii)\text{ together} \\ & \frac{73}{4}p=73 \\ & p=4 \\\end{align}$

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