Solve the System of Equations $x+\frac{1}{2} y-\frac{1}{2} z=3$ $4 x+2 y-2 z=12$

Multiple Choice

Solve the system of equations. If the system is inconsistent or has dependent equations, say so.
- $x+\frac{1}{2} y-\frac{1}{2} z=3$
$4 x+2 y-2 z=12$
$-2 \mathrm{x}-\mathrm{y}+\mathrm{z}=-6$

A) $\{(3,1,1) \}$
B) $\varnothing$ ; inconsistent system
C) $\{(x, y, z) \mid-2 x-y+z=-6\}$ ; dependent equations
D) $\{(3,0,0) \}$