Respuesta :
Answer: The required value of the system determinant is 7.
Step-by-step explanation: We are given to find the value of the system determinant for the following system of linear equations :
[tex]2x-y=5,\\\\x+3y=7.[/tex]
We know that
the first column of the system determinant contains the coefficients of the unknown variable x and the second column contains the coefficients of the unknown variable y.
So, the system determinant can be written as
[tex]D\\\\\\=\begin{vmatrix}2 & -1\\ 1 & 3\end{vmatrix}\\\\\\=2\times3-(-1)\times1\\\\=6+1\\\\=7.[/tex]
Thus, the required value of the system determinant is 7.
