Question

Solve the system of equations using a matrix. Separate the x and y values with a comma. 2x-y=6 & 3x-y=11

Answer 1

`\left\{\begin{array}{ccc}2x-y=6\\3x-y=11\end{array}\right\\\\ \left[\begin{array}{ccc}2&-1\\3&-1\end{array}\right\left|\begin{array}{ccc}6\\11\end{array}\right]\xrightarrow{r_1-r_2} \left[\begin{array}{ccc}-1&0\\3&-1\end{array}\right\left|\begin{array}{ccc}-5\\11\end{array}\right]\xrightarrow{r_2+3r_1}`

`\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right\left|\begin{array}{ccc}-5\\-4\end{array}\right]\xrightarrow{(-1)r_1;(-1)r_2}\left[\begin{array}{ccc}1&0\\0&1\end{array}\right\left|\begin{array}{ccc}5\\4\end{array}\right]\\\\Answer:\ \left\{\begin{array}{ccc}x=5\\y=4\end{array}\right\to(5;\ 4)`