Question

Two straight lines have equations y = px + 4 and py = qx − 7, where and are constants. The two lines meet at the point (3, 1). What is the value of ?

Answer 1

:

2≡−−7=0L2≡qx−py−7=0(3,1) is their point of intersection then(3,1) is their point of intersection then⟹3−1+4=0⟹3p−1+4=0=−1p=−1⟹(3)−(−1)(1)−7=0⟹q(3)−(−1)(1)−7=0=2