Question

Solve using matrices.
4x + 5y = 40
x – y = 1

Answer 1

\[\left[\begin{array}{cc|c}4&5&40\\1&-1&1\end{array}\right]\]

Answer 2

\[R_1\to R_1-3R_2\]\[\left[\begin{array}{cc|c}1&8&37\\1&-1&1\end{array}\right]\]
\[R_2\to R_2-R_1\]\[\left[\begin{array}{cc|c}1&8&37\\0&-9&-36\end{array}\right]\]

Answer 3

can you tell me what the next row operation will be ?

Answer 4

|4 5||x| |40|
| || |=| |
|1 -1||y| |1 |

find inverse of
|4 5|
| |
|1 -1|
and
then multiply both sides and find x and y