Determinants Matrices Question 28

Question: The number of values of k for which the system of equations $ (k+1)x+8y=4k; $

$ kx+(k+3)y=3k-1 $ has infinitely many solutions is

Options:

A) 0

B) 1

C) 2

D) infinite

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] For infinitely many solutions the two equations become identical
    $ \Rightarrow \frac{k+1}{k}=\frac{8}{k+3}=\frac{4k}{3k-1}\Rightarrow k=1 $