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Question

What value of K, will the following pair of the linear equations have infinitely many solutions?
2x+3y13=0;6xky39=0

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Solution

We have,
2x+3y13=0 ..........(1)

6xky39=0 ..........(2)

Since, linear equations have infinitely many solution.
a1a2=b1b2=c1c2

Therefore,
26=3k=1339

13=3k

k=9


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