Question

Write the system of equations corresponding to the given augmented matrix.

$\left[\begin{array}{rrr}3& 2& 8\\ 1& 4& -1\end{array}\right]$

Short answer

The system of equations is$\left\{\begin{array}{l}3x+2y=8\\ x+4y=-1\end{array}\right.$

Step-by-step solution

Step 1. Given information

The given augmented matrix is$\left[\begin{array}{rrr}3& 2& 8\\ 1& 4& -1\end{array}\right]$

Step 2. Convert augmented matrix into the system of equations.

If the two variables are $x$and $y$, then the system of equations is

$\left\{\begin{array}{l}3x+2y=8\\ x+4y=-1\end{array}\right.$