Answer
$(4,- 2,3)$
Work Step by Step
Re-arrange the given equations to get
$-6x+3y-6z=-48 $
and $(-6x+3y-6z) +(7x-3y-5z) =-48+19$
$ \implies x-11z =-29$
$ \implies -x+11z =29$
$(x-3z)+(-x+11z)=-5+29$
This gives: $z=3$
Now, $x-3(3)=-5 \implies x=4$
and $2(4)-y+2(3)=16 $ gives: $y=-2$
Our solution is: $(4,- 2,3)$