Answer
$\{(2,0,-1)\}$
Work Step by Step
1. Add up the first two equations to get $3x+3y=6$ or $x+y=2$
2. Add up the last two equations to get $4x+y=8$
3. Take the difference of the above results, we have $3x=6$, thus $x=2$
4. We have $y=2-x=0$ and $z=x+2y-3=-1$
5. Thus the solution set is $\{(2,0,-1)\}$
