Question

Dakarai wrote the system of linear equations below.

Answer 1

Answer:

Step-by-step explanation:

Find the attachment below for answer and explanation.

Answer 2

Answer:

The matrix that Dakarai could have written is:

              $A=\left[\begin{array}{ccc}7&8\\-3&9\end{array}\right]$

Step-by-step explanation:

We know that the coefficient matrix of the system of equation of the type:

                $ax+by=m$

         and $cx+dy=n$

is given by:

$A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]$

where the system is given by:

$AX=B$

where

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

and

$B=\left[\begin{array}{ccc}m\\n\end{array}\right]$

Here we have the system of equations as:

                 $7x+8y=28$

     and      $-3x+9y=-24$

i.e.

the coefficient matrix is:

$A=\left[\begin{array}{ccc}7&8\\-3&9\end{array}\right]$