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Algebra
Question

Determine whether the following system of linear equations has no solution, only one solution, or infinitely many solutions. If the system has only one solution, find that solution.

$$\left\{ \begin{array} { r } { 6 x + 4 y - z = 0 } \\ { - 3 x + 3 y - 6 z = - 6 } \\ { - 4 x - 6 y + 5 z = 4 } \end{array} \right.$$