Given that 2p - m = 6 and 2p + 4m = 1, find the
MATHEMATICS
WAEC 1994
Given that 2p - m = 6 and 2p + 4m = 1, find the value of (4p + 3m).
- A. 1
- B. 3
- C. 5
- D. 7
Correct Answer: D. 7
Explanation
2p - m = 6 ... (i)
2p + 4m = 1 ... (ii)
From (i), m = 2p - 6.
2p + 4(2p - 6) = 1
2p + 8p - 24 = 1
10p = 1 + 24 = 25
p = 2.5
m = 2(2.5) - 6
= 5 - 6
= -1
\(\therefore\) 4p + 3m = 4(2.5) + 3(-1)
= 10 - 3
= 7
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