## College Algebra (10th Edition)

$\left\{\begin{array}{lll} x-y-z & =1 & \\ 2x+3y+z & =2 & /R_{2}=r_{2}+r_{1}\\ 3x+2y & =0 & \end{array}\right.$ ... Eliminate z in eq. 2 and 3 $\left\{\begin{array}{lllll} x & -y & -z & =1 & \\ 3x & +2y & & =3 & \\ 3x & +2y & & =0 & /R_{3}=r_{3}-r_{2} \end{array}\right.$ ... Eliminate y in equation 3 $\left\{\begin{array}{lllll} x & -y & -z & =2 & \\ 3x & +2y & & =4 & \\ & & 0 & =3 & \end{array}\right.$ The third equation is impossible - there are no solutions, so the system is inconsistent.