Question

solve the system using an augmented matrix. show all work.

-x-3y=-17
2x-6y=-26

Answer 1

The augmented matrix for this system is
\[\left[
\begin{array}{cc|c}
-1&-3&-17\\[1ex]
2&-6&-26
\end{array}
\right]\]To solve the system you need to use elimination/row reduction to end up with the augmented matrix
\[\left[
\begin{array}{cc|c}
1&0&a\\[1ex]
0&1&b
\end{array}
\right]\]where \((a,b)\) is the solution to the system (if it exists).

Do you know how to carry out row operations?