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Equations & Systemshard
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For what value of kkk does the following system have infinitely many solutions? {x+2y+3z=12x+4y+6z=23x+6y+9z=k\begin{cases} x + 2y + 3z = 1 \\ 2x + 4y + 6z = 2 \\ 3x + 6y + 9z = k \end{cases}⎩⎨⎧​x+2y+3z=12x+4y+6z=23x+6y+9z=k​