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.
$-6x-4y+6z=4$ and $6x-15y+6z=-6$
This gives, $-19y+12z=-2$
Now, $-4x+10y-4z=4$ and $-20x+18z=16$
This gives $y=2$
Now, $-19(2)+12z=-2$
or, $z=3$
Also, $-6x-4y+6z=4$
$-6x-4(2)+6(3)=4$
or, $x=1$
Hence, the desired result is $(1,2,3)$