The number of values of k for which the ...

The number of values of `k` for which the system of the equations `(k+1)x+8y=4ka n dk x+(k+3)y=3k-1` has infinitely many solutions is `0` b. `1` c. `2` d. infinite

A

0

B

1

C

2

D

`oo`

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The correct Answer is:

B

For infinitely many solutions, we must have
`(k+1)/(k) = (8)/(k+3) = (4k)/(3k-1) rArr k =1`

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