Question

X + 2y = 5

x - 3y = 7

What is the value of the system determinant?

a.) -5
b.) 1
c.) 5

Answer 1

C.) 5 is the value of X and the value of Y is 5/2

Answer 2

Answer: The correct option is (a). - 5.

Step-by-step explanation: We are given to find the value of the system determinant for the following system of linear equations :

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

The system determinant for the above system is written as

`\begin{vmatrix}1 & 2\\ 1 & -3\end{vmatrix}`

And, its value will be

`\begin{vmatrix}1 & 2\\ 1 & -3\end{vmatrix}=1* (-3)-2* 1=-3-2=-5.`

Thus, the required value is - 5.

Option (a) is CORRECT.