If the system of equations \[ x-2 y+z=a \] \( 2 x+y-2 z=b \) and \( x+3 y-3 z=c \) has at least ...

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If the system of equations
\[
x-2 y+z=a
\]
\( 2 x+y-2 z=b \)
and \( x+3 y-3 z=c \)
has at least one solution, then
(A) \( a+b+c=0 \)
(B) \( a-b+c=0 \)
(C) \( -a+b+c=0 \)
(D) \( a+b-c=0 \)
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