Question

25 POINTS!!!! PLEASE HELP AND WALK THROUGH!!!!!!!!!!

Solve the system using an augmented matrix.


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


Can someone please explain what I am supposed to do in this problem?

Answer 1

ok so
same as normal matrix except you have a line in place of the equals
just take the coefients and use gausian ellimination



-1x-3y=-17 and
2x-6y-26 translates to

`\left[\begin{array}{ccc}-1&-3&|-17\\2&-6&|-26\end{array}\right]`
now use gausian elimination
multiply top row by 2 and add to 2nd collumn


`\left[\begin{array}{ccc}-1&-3&|-17\\0&-12&|-60\end{array}\right]`
divide bottom row by -12

`\left[\begin{array}{ccc}-1&-3&|-17\\0&1&|5\end{array}\right]`
now multiply last row by 3 and add to first row

`\left[\begin{array}{ccc}-1&0&|-2\\0&1&|5\end{array}\right]`
times top row by -1

`\left[\begin{array}{ccc}1&0&|2\\0&1&|5\end{array}\right]`
x=2
y=5