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Determinantshard
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For which value of kkk does the system have infinitely many solutions (dependent equations)? {x+3y−2z=22x+6y−4z=43x+9y+kz=6\begin{cases} x + 3y - 2z = 2 \\ 2x + 6y - 4z = 4 \\ 3x + 9y + kz = 6 \end{cases}⎩⎨⎧​x+3y−2z=22x+6y−4z=43x+9y+kz=6​