Question

Find the solution to the following system of linear equations:
2p+3q=9
p - q = 2

• A. (3, 1)
• B. (-4, 1)
• C. (4, 2)
• D. (2, -3)

Answer 1

The correct option is A

(3, 1)

2p + 3q = 9 …. (I)

p - q = 2…(II)

From the equation II, we get, p = 2 + q

Substituting this value of p in equation I we get,

2(2 + q) +3q=9

⇒ 4+5q=9

⇒ 5q= 5

⇒ q=1

Substituting this value of q in equation II we get,

P – 1=2

⇒ p=3

Hence the solution is (3, 1).