Question

Write the system of linear equations represented by the augmented matrix. (Use variables x, y, z, and w, if applicable.)19-5

Answer 1

`\begin{gathered} x+y=5 \\ 9x-5y=-1 \end{gathered}`

Step-by-step explanation

Augmented matrices are used to represent linear equations in order to solve them.

From the augmented matrix given, we have two variables and one constant in each equation.

Using x and y as variables, the system of linear equations represented is:

`\begin{gathered} 1(x)+1(y)=5 \\ 9(x)+(-5)y=-1 \\ \Rightarrow x+y=5 \\ \Rightarrow9x-5y=-1 \end{gathered}`

Note: the last two equations are the linear equations we need.