## College Algebra (10th Edition)

The system represented by the augmented matrix is $\left\{\begin{array}{llll} x & -3y & +3z & =-5\\ -4x & -5y & -3z & =-5\\ -3x & -2y & +4z & =6 \end{array}\right.$ Performing the row operations, $\rightarrow\left[\begin{array}{ccc|c} {1}&{-3}&{3}&{-5}\\ {0}&{-17}&{9}&{-25}\\ {0}&{-11}&{13}&{-9}\end{array}\right]$
The system represented by the augmented matrix is $\left\{\begin{array}{llll} x & -3y & +3z & =-5\\ -4x & -5y & -3z & =-5\\ -3x & -2y & +4z & =6 \end{array}\right.$ Performing the row operations, $R_{2}=4r_{1}+r_{2}$ $R_{3}=3r_{1}+r_{3}$ $\left[\begin{array}{rrr|r} {1}&{-3}&{3}&{-5}\\ {-4}&{-5}&{-3}&{-5}\\ {-3}&{-2}&{4}&{6}\end{array}\right]\rightarrow$ $\rightarrow\left[\begin{array}{ccc|c} {1} &{-3} &{3} &{-5}\\ {4(1)-4}&{4(-3)-5}&{4(3)-3}&{4(-5)-5}\\ {3(1)-3}&{3(-3)-2}&{3(3)+4}&{3(-5)+6}\end{array}\right]$ $\rightarrow\left[\begin{array}{ccc|c} {1}&{-3}&{3}&{-5}\\ {0}&{-17}&{9}&{-25}\\ {0}&{-11}&{13}&{-9}\end{array}\right]$