Answer
$(2,3,3)$
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.
$x+y+2z=11$ and $-x-y-3z=-14$
This gives, $z=3$
Now, $-x-7y=-23$
or, $-x-21=-23$
or, $x=2$
Also, $x+y+2z=11$
$2+y+6=11$
or, $y=3$
Hence, the desired result is $(2,3,3)$
