If the intersection point of the equations 3p − 2q + 23 = 0 and −2p + q − 13 = 0 on the graph is (p, q), then the value of (3p + q) is equal to:
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Correct answer: C
Explanation
The correct answer is Option 3 i.e. −2.
3p − 2q + 23 = 0 and −2p + q − 13 = 0
⇒ 3p − 2q = - 23,.....(1)
⇒ −2p + q = 13....(2)
Multiply equation 2 by 2 and add in equation 1
⇒ 3p - 2q - 4p + 2q = -23 + 26
⇒ p = - 3
On putting the value of p in equation 1
⇒ 6 + q = 13
⇒ q = 7
Thus,
The value of (3p + q)
⇒ (3 × -3 + 22) = - 9 + 7 = -2