Solve the given system of equations. If the system has no solution, say that is it inconsistent.
\begin{cases} x - y &= 5 \\ 2x - 7z &= 14 \\ 2y + z &= 4 \end{cases}
Select the correct choice below and fill in any answer boxes within your choice.
A. The solution is $x = \boxed{\phantom{x}}$, $y = \boxed{\phantom{y}}$, and $z = \boxed{\phantom{z}}$. (Type integers or simplified fractions.)
B. There are infinitely many solutions. Using ordered triplets, they can be expressed as $\{(x, y, z) \mid x = \boxed{\phantom{x}}, y = \boxed{\phantom{y}}, z \text{ any real number}\}$. (Simplify your answers. Type expressions using z as the variable as needed.)
C. There are infinitely many solutions. Using ordered triplets, they can be expressed as $\{(x, y, z) \mid x = \boxed{\phantom{x}}, y \text{ any real number}, z \text{ any real number}\}$. (Simplify your answer. Type an expression using y and z as the variables as needed.)
D. The system in inconsistent.
