Consider the following linear system. $x+2 y-3 z=a$ $2 x+3 y+3 z=b$ $5 x+9 y-6 z=c$ This system is consistent if $a, b$ and $c$ satisfy the equation
(A) $7 a-b-c=0$
(B) $3 a+b-c=0$
(C) $3 a-b+c=0$
(D) $7 a-b+c=0$
Consider the following linear system. $x+2 y-3 z=a$ $2 x+3 y+3 z=b$ $5 x+9 y-6 z=c$ This system is consistent if $a, b$ and $c$ satisfy the equation
(A) $7 a-b-c=0$
(B) $3 a+b-c=0$
(C) $3 a-b+c=0$
(D) $7 a-b+c=0$