Answer:
Step-by-step explanation:
Find the attachment below for answer and explanation.
The matrix that Dakarai could have written is:
[tex]A=\left[\begin{array}{ccc}7&8\\-3&9\end{array}\right][/tex]
We know that the coefficient matrix of the system of equation of the type:
[tex]ax+by=m[/tex]
and [tex]cx+dy=n[/tex]
is given by:
[tex]A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right][/tex]
where the system is given by:
[tex]AX=B[/tex]
where
[tex]X=\left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
and
[tex]B=\left[\begin{array}{ccc}m\\n\end{array}\right][/tex]
Here we have the system of equations as:
[tex]7x+8y=28[/tex]
and [tex]-3x+9y=-24[/tex]
i.e.
the coefficient matrix is:
[tex]A=\left[\begin{array}{ccc}7&8\\-3&9\end{array}\right][/tex]
