(Solved): Solve the system using matrices (row operations) \[ \left\{\begin{array}{r} -4 x+52 y=148 \\ x-2 y+ ...

Solve the system using matrices (row operations) \[ \left\{\begin{array}{r} -4 x+52 y=148 \\ x-2 y+2 z=-10 \\ 4 x+3 y+2 z=11 \end{array}\right. \] 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 \( t \) in the answer blank for \( z \), enter a formula for \( y \) in terms of \( t \) in the answer blank for \( y \) and enter a formula for \( x \) in terms of \( t \) in the answer blank for \( x \). If there are no solutions, leave the answer blanks for \( x, y \) and \( z \) empty. \[ x= \] \[ y= \]