If 3p - q = 6 and 2p + 3q = 4, find q

MATHEMATICS
WAEC 1996

If 3p - q = 6 and 2p + 3q = 4, find q

  • A. 0
  • B. 1/2
  • C. 2/3
  • D. 1

Correct Answer: A. 0

Explanation

3p - q = 6 ........ 1

2p + 3q = 4 ....... 2

Multiply eqn 1 by 3

9p - 3q = 18 ........ 3

2p - 3q = 4 ......... 2

Add eqn3 and eqn2

11p = 22 => p =22/11 = 2

Substitute for p =2 in eqn1

3p - q = 6

3x2 - q = 6 => 6 - q = 6 => -q = 6 - 6

q = 0



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