Solve the system of equations. If the system has no solution, say that it
is inconsistent.
$\begin{cases} x + y - z = 6 \ 2x - 2y + z = -2 \ x + 7y - 4z = 24 \end{cases}$
Select the correct choice below and fill in any answer boxes within your
choice.
A. The solution of the system is $x = \boxed{\phantom{x}}$, $y = \boxed{\phantom{y}}$, and $z = \boxed{\phantom{z}}$.
(Simplify your answers.)
B. There are infinitely many solutions. Using ordered triplets, the
solution can be written as
$\{(x, y, z) | x = \boxed{\phantom{x}}, y = \boxed{\phantom{y}}, z \text{ any real number}\}$
(Simplify your answers. Type expressions using z as the
variable as needed.)
C. There are infinitely many solutions. Using ordered triplets, the
solution can be written as
$\{(x, y, z) | x = \boxed{\phantom{x}}, y \text{ any real number}, z \text{ any real number}\}$
(Simplify your answer. Type an expression using y and z as the
variables as needed.)
D. The system is inconsistent.
