Question

Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure. 4x1 8x2

Answer 1

Answer:

$x_1=12,\;\;\;x_2=-7$

Step-by-step explanation:

B be an augmented matrix of the given system is:

$B=[A,b]=\left[\begin{matrix}2&4&-4\\5&7&11\end{matrix}\right] \\\text{multiply the 2nd row by}\; \frac{1}{2}$

                $\left[\begin{matrix}1&2&-2\\5&7&11\end{matrix}\right]$

add -5 times the 1st row to the 2nd row

                 $\left[\begin{matrix}1&2&-2\\0&-3&21\end{matrix}\right]$

multiply the 2nd row by $\frac{-1}{3}$

                $\left[\begin{matrix}1&2&-2\\0&1&-7\end{matrix}\right]$

add -2 times the 2nd row to the 1st row

              $\left[\begin{matrix}1&0&12\\0&1&-7\end{matrix}\right]$

Hence the given system reduces to

            $x_1=12,\;\;\;x_2=-7$

We attached the complete question below