QuestionSolve the system using matrices (row operations) $$\left\{\begin{array}{r} -6 x-3 y+5 z=35 \\ x-2 y-4 z=-6 \\ 4 x+y-2 z=-13 \end{array}\right.$$
How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above
If there is one solution, give its coordinates in the answer spaces below.
If there are infinitely many solutions, enter $z$ in the answer blank for $z$, enter a formula for $y$ in terms of $z$ in the answer blank for $y$ and enter a formula for $x$ in terms of $z$ in the answer blank for $x$.
If there are no solutions, leave the answer blanks for $x, y$ and $z$ empty. $$\begin{array}{l} x=\square \\ y=\square \\ z=\square \end{array}$$