Question

What is
|Ay|
in the system of linear equations below?

-8x+y=-6
3x-2y=-1

Answer 1

Considering the given system of equations, it is found that:

$|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|$

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

$\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right]$

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

$|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|$

More can be learned about a system of equations at https://brainly.com/question/24342899