#### Answer

$x_{1}$ = 2 ,$x_{2}$ = -1 , $x_{3}$ = -1

#### Work Step by Step

$x_{1}$ - $x_{2}$ + 0$x_{3}$ = 3
0$x_{1}$ + $x_{2}$ - 2$x_{3}$ = 1
0$x_{1}$ + 0$x_{2}$ + $x_{3}$ = 1
$x_{3}$ = -1
Plug it into the second equation
$x_{2}$ - 2(-1) = 1
$x_{2}$ = -1
Now on the first equation
$x_{1}$ - (-1) = 3
$x_{1}$ = 2