Question

Given the system of equations, what is the value of the y-determinant?

3x + y - 10 = 0
4x - y - 4 = 0

A. -28
B. -14

Answer 1

The answer is a i hope this helps 

Answer 2

Answer: The correct option is (A) -28.

Step-by-step explanation: The given system of linear equations is as follows :

`3x+y-10=0,\\\\4x-y-4=0.`

We are to find the y-determinant for the above system of equations.

The given system can be written as :

`3x+y=10~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\4x-y=4~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Therefore, the y-determinant of the system will be

`D=\begin{vmatrix}3 & 4\\ 10 & 4\end{vmatrix}=3*4-4*10=12-40=-28.`

Thus, the required value of the y-determinant is -28.

Option (A) is CORRECT.