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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #23485)