Question

Which system of equations is represented by the matrix below ​

Answer 1

Answer:

Option A.

Step-by-step explanation:

The given matrix is

$\left[\left.\begin{matrix}4 & 5\\ 7 & -4\end{matrix}\right|\begin{matrix}-16\\ 23\end{matrix}\right]$

We need to find the system of equations which is represented by the matrix.

In the given matrix first row represents the first equation and second row represents the second equation of the system of equations.

Let two variables are x and y.

First column represents the coefficients of x and second column represents the coefficients of y.

Numbers on the right side of the matrix represents the numbers which are right side of the equations.

Now, the required equations are

$4x+5y=-16$

$7x-4y=23$

Therefore, the correct option is A.