Question

Write the augmented matrix for each system of equations. 10x=10 -5x-8y=9​

Answer 1

Answer:

The augmented matrix is:

         $\begin{bmatrix}10 & 0| & 10\\ -5 &-8| & 9\end{bmatrix}$

Step-by-step explanation:

The steps of an augmented matrix are as follows:

• We write a matrix such that the first column of the matrix is coefficient of x in the matrix.

• The second column of the matrix is the coefficient of y in each equations.

• and then it is separated by a line and then the third column written with the help of a constant term on the right side of the equation when it is written down.

The system of equation is:

$10x=10\\and\\-5x-8y=9$

Hence, the system could be written in the form:

$AX=b$

where:

$A=\left[\begin{array}{ccc}10&0\\-5&-8\end{array}\right]$

$X=\left[\begin{array}{ccc}x\\y\end{array}\right]$

and

$b=\left[\begin{array}{ccc}10\\9\end{array}\right]$

Hence, the augmented matrix  is:

    $\begin{bmatrix}10 & 0| & 10\\ -5 &-8| & 9\end{bmatrix}$

Answer 2

ANSWER

$\left[ { \begin {array} {cc} 10&0& | 10\\-5&-8& | 9\\ \end {array}} \right]$

EXPLANATION

The given system of equations is

10x=10

-5x-8y=9

We can rewrite this as:

10x+0y=10

-5x-8y=9

The augmented matrix is the combination of the coefficient matrix and the constant matrix.

The coefficient matrix is

$\left[ { \begin {array} {cc} 10&0\\ - 5& - 8\\ \end {array}} \right]$

The constant matrix is

$\binom{10}{9}$

The augmented matrix is

$\left[ { \begin {array} {cc} 10&0& | 10\\-5&-8& | 9\\ \end {array}} \right]$