Answer: The correct option is (C) 2.
Step-by-step explanation: We are given to find the value of the y-determinant for the following system of linear equations :
[tex]x+2y=5~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=7~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
The y-determinant for the above system is written as
[tex]D(y)=\begin{vmatrix}1 & 5\\ 1 & 7\end{vmatrix}[/tex]
The value of the y-determinant will be
[tex]D(y)=\begin{vmatrix}1 & 5\\ 1 & 7\end{vmatrix}=1\times7-1\times5=7-5=2.[/tex].
Thus, the required value of the y-determinant is 2.
Option (C) is CORRECT.
