Question

2x - y = 5 x + 3y = 7 What is the value of the system determinant?

Answer 1

The answer is (x,y) =(28/11, -21/11)

Answer 2

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

$D\\\\\\=\begin{vmatrix}2 & -1\\ 1 & 3\end{vmatrix}\\\\\\=2\times3-(-1)\times1\\\\=6+1\\\\=7.$

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