Question

X + 2y = 5

x - 3y = 7

What is the value of the y-determinant?

A.) -2

B.) -1

C.) 2

Answer 1

B. 2
if any other number was in there i dont think it would work because its neg

Answer 2

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 :

`x+2y=5~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-3y=7~~~~~~~~~~~~~~~~~~~~~~(ii)`

The y-determinant for the above system is written as

`D(y)=\begin{vmatrix}1 & 5\\ 1 & 7\end{vmatrix}`

The value of the y-determinant will be

`D(y)=\begin{vmatrix}1 & 5\\ 1 & 7\end{vmatrix}=1*7-1*5=7-5=2.`.

Thus, the required value of the y-determinant is 2.

Option (C) is CORRECT.