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The system of simultaneous linear equations

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The system of simultaneous linear equations

[Tex] \begin{aligned} & x-2 y+3 z=4,3 x+y-2 z=7 \\ & 2 x+3 y+z=6 \text { has } \end{aligned} [/Tex]

infinitely many solutions.

no solution.

unique solution having [Tex]z=2[/Tex].

unique solution having [Tex]z=\frac{1}{2}[/Tex].

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