Use the Gauss-Jordan Method to Solve the System of Equations $x+y+z=7$

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations.
- $x+y+z=7$
$x-y+2 z=7$
$2 x+3 z=15$

A) No solution
B) $(2,1,4)$
C) $(1,2,4)$
D) $(4,2,1)$