Question

2x - y = 5
x + 3y = 7

What is the value of the system determinant?

Answer 1

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 :

`2x-y=5,\\\\x+3y=7.`

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

`D\\\\\\=\begin{vmatrix}2 & -1\\ 1 & 3\end{vmatrix}\\\\\\=2*3-(-1)*1\\\\=6+1\\\\=7.`

Thus, the required value of the system determinant is 7.