Given that 2p – m = 6 and 2p + 4m = 1, find the…

Given that 2p – m = 6 and 2p + 4m = 1, find the value of (4p + 3m).

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