10. Let $a, b, c$ be real numbers. Which of the following statements about the linear system $\left\{\begin{array}{c} x + 2y + az = 1 \\ 3x + 4y + bz = -1 \\ 2x + 10y + 7z = c \end{array}\right.$ are correct? (1) If the linear system has a solution, then it must have exactly one solution (2) If the linear system has a solution, then $11a - 3b \neq 7$ (3) If the linear system has a solution, then $c = 14$ (4) If the linear system has no solution, then $11a - 3b = 7$ (5) If the linear system has no solution, then $c \neq 14$
& 4，5 & & 21 & 2 & & 33 & 2
10. Let $a, b, c$ be real numbers. Which of the following statements about the linear system $\left\{\begin{array}{c} x + 2y + az = 1 \\ 3x + 4y + bz = -1 \\ 2x + 10y + 7z = c \end{array}\right.$ are correct?\\
(1) If the linear system has a solution, then it must have exactly one solution\\
(2) If the linear system has a solution, then $11a - 3b \neq 7$\\
(3) If the linear system has a solution, then $c = 14$\\
(4) If the linear system has no solution, then $11a - 3b = 7$\\
(5) If the linear system has no solution, then $c \neq 14$