13. For which value of K will the following pair of linear equations have no solution
3x + y = 1
(2K-1)X + (K-1) y = 2K + 1
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3x+y=1 and
(2k-1)x+(k-1)y=2k+1
They can be rewrite as:
3x + y - 1 = 0 and
(2k-1)x + (k-1)y - (2k+1) = 0
We know that, for the given system to have no solution,=≠
⇒ 
⇒ 3k - 3 = 2k - 1
⇒ k = 3-1
⇒ k = 2
Hence, for k = 2, the given system of equation will have no solution.
Hope it will help you dear mate
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