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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
  • E. 9
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Correct Answer: Option D
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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