Use the Gauss-Jordan method to solve the following system of equations.
$3x + 4y - z = 0$
$2x - y + 2z = 1$
$5x + 3y + z = 1$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution is $(\Box, \Box, \Box)$, in the order x, y, z.
(Simplify your answers.)
B. There is an infinite number of solutions. The solution is $(\Box, \Box, z)$, where z is any real number.
C. There is no solution.