Answer
$(-1,-2,-3)$
Work Step by Step
To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable.
$-6x-9y-21z=-39$ and $6x+4y-10z=-44$
This gives, $-5y-31z=-83$
Now, $-55y-341z=-913$ and $55y+80z=130$
This gives $y=-2$
Now, $-19(2)+12z=-2$
or, $z=3$
Also, $-6x-9y-21z=-39$
$-6x-9(-2)-21(3)=-39$
or, $x=-1$
Hence, the desired result is $(-1,-2,-3)$