Chapter 1 - Systems of Linear Equations - 1.2 Gaussian Elimination and Gauss-Jordan Elimination - 1.2 Exercises - Page 22: 13

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

$x_{1}$ - $x_{2}$ + 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