Q. 11 - Precalculus Enhanced with Graphing Utilities

Question

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

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

Step-by-Step Solution

Answer

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

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

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