Answer
$(1,-1,1)$
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.
$2x+y-2z=-1$ and $-6x+6y+2z=-10$
This gives, $-4x+7y=-11$
Now, $9x-9y-3z=15$ and $x-2y+3z=6$
This gives $10x-11y=21$
or, $y=-1$
or, $x=2$
Also, $-4x+7y=-11$
or, $-4x+7(-1)=-11$
or, $x=1$
Thus, $9x-9y-3z=15$ this gives $9(1)-9(-1)-3z=15$
or, $z=1$
Hence, the desired result is $(1,-1,1)$
