Write the augmented matrix for a system

Write the augmented matrix for a system

 

 To begin, we write an augmented matrix for the system. An augmented matrix has a vertical bar that separates the columns of the matrix into two groups.

 

For example, to solve the system

 

x  –  3y =1

2x +y = –5,

 

start with the augmented matrix

 

\begin{bmatrix}  1 &  -3& \left.\begin{matrix}  &  & \\  &  &  \end{matrix}\right|+1\\  2& 1 & \left.\begin{matrix}  &  & \\  &  &  \end{matrix}\right|-5  \end{bmatrix}. Augmented matrix

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