Chapter 8.1, Problem 23E

To determine

The system of linear equations.

Answer to Problem 23E

System: $\{\begin{array}{cccc}x& 2y& =& 7\\ 2x& -3y& =& 4\end{array}$

Explanation of Solution

Given information:

Write the system of linear equations represented by the augmented matrix

Calculation:

The given augmented matrix is,

Augmented matrix $\left[\begin{array}{cccc}1& 2& ⋮& 7\\ 2& -3& ⋮& 4\end{array}\right]$

Now use the variables $x,y,z,w$ if required.

System: $\{\begin{array}{cccc}x& 2y& =& 7\\ 2x& -3y& =& 4\end{array}$

Hence the system of linear equations represented by the augmented matrix is

System: $\{\begin{array}{cccc}x& 2y& =& 7\\ 2x& -3y& =& 4\end{array}$