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Question

Question: If the lines \(y = x + 5\) and \(5 y + b x = 3\) are concurrent, then *b* equals...

If the lines y=x+5y = x + 5 and 5y+bx=35 y + b x = 3 are concurrent, then b equals

A

1

B

3

C

6

D

0

Answer

6

Explanation

Solution

If these lines are concurrent then the intersection point of the lines 4x+3y=14 x + 3 y = 1 and y=x+5y = x + 5, is (–2, 3), which lies on the third line.

Hence, ⇒ b=6b = 6