Question

Given the system of equations, what is the value of the system determinant?
2x + y = 8x - y = 10 a.)-1 b.)-2 c.)-3

Answer 1

2x + y = 8
x - y = 10

| 2 1 |
| 1 -1 |

Answer 2

i'm not sure what a system determinent is?

Answer 3

it is prolly best explained by your material

Answer 4

it is the determinant of the coefficient matrix that correspond to your x and y valriables

Answer 5

Your 2 equations are as amistre typed
we can write this as a matrix equation:
\[\left[\begin{matrix}2 & 1 \\ 1 & -1\end{matrix}\right]\left[\begin{matrix}x \\ y\end{matrix}\right]=\left[\begin{matrix}8 \\ 10\end{matrix}\right]\]

Answer 6

They want you to find the determinant of the matrix, the "system determinant"