## College Algebra (10th Edition)

The system represented by the augmented matrix is $\left\{\begin{array}{lll} x & -3y & =-3\\ 2x & -5y & =-4 \end{array}\right.$ Performing the row operation, $\rightarrow\left[\begin{array}{cc|c} {1}&{-3}&{-3}\\ {0}&{1}&{2}\end{array}\right]$
The system represented by the augmented matrix is $\left\{\begin{array}{lll} x & -3y & =-3\\ 2x & -5y & =-4 \end{array}\right.$ Performing the row operation, $\left[\begin{array}{rr|r} {1}&{-3}&{-3}\\ {2}&{-5}&{-4}\end{array}\right]\rightarrow R_{2}=-2r_{1}+r_{2}\rightarrow$ $\rightarrow\left[\begin{array}{cc|c} {1} &{-3} &{-3}\\ {-2(1)+2}&{-2(-3)-5}&{-2(-3)-4}\end{array}\right]\rightarrow\left[\begin{array}{cc|c} {1}&{-3}&{-3}\\ {0}&{1}&{2}\end{array}\right]$