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Question
The system of linear equations
3x - 2y - kz = 10
2x - 4y - 2z = 6
x+2y - z = 5m
is inconsistent if :
k $ \ne $ 3, m $ \in $ R
k = 3, m $ \ne $ ${4 \over 5}$
k = 3, m $ = $ ${4 \over 5}$
k $ \ne $ 3, m $ \ne $ ${4 \over 5}$

Solution

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