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Q.

Find the value of k for which each of the following systems of equations have infinitely many solutions: x+(k+1)y=4; (k+1)x+9y=5k+2


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a

1

b

2

c

3

d

4 

answer is B.

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Detailed Solution

For infinitely many solutions, we must have
1k+1=k+19=45k+2
⇒k+12=9
⇒k=2
 
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Find the value of k for which each of the following systems of equations have infinitely many solutions: x+(k+1)y=4; (k+1)x+9y=5k+2