Chapter 11, Problem 12RE

To determine

To find: The system of equations to the augmented matrix.

Answer to Problem 12RE

The system of equations is

  $x+2y+5y=-2$

  $5x-3z=8$

  $2x-y=0$

Explanation of Solution

Given information:

The augmented matrix is $\left(\begin{array}{cc}3& 2\\ 1& 4\end{array}\right)$$\left(\begin{array}{cc}& 8\\ & -1\end{array}\right)$

Calculation:

The augmented matrix has three rows, So it represents a system of three equations.

The matrix is given below.

  $\left(\begin{array}{ccc}a1& 2& 5\\ 5& 0& -3\\ 2& -1& 0\end{array}\right)$$\left(\begin{array}{ccc}& & -2\\ & & 8\\ & & 0\end{array}\right)$

If the two variables are $x,yandz$

Then the system of equations is

  $x+2y+5y=-2$

  $5x-3z=8$

  $2x-y=0$