The value of k $\in$ R , for which the following system of linear equations 3 x – y + 4 z = 3, x + 2 y – 3 z = –2, 6 x + 5 y + kz = –3 has infinitely many solutions, is [JEE Main 2021, 20 Jul (Shift 2)]

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The value of k \(\in\) R , for which the following system of linear equations 3 x – y + 4 z = 3, x + 2 y – 3 z = –2, 6 x…

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