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

ANSWER

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

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.