Question

Given the system of equations, what is the value of the system determinant? x + y = 8 x - y = 10 0 -1 -2

Answer 1

-2

Explanation:

We need to set up the matrix to find the determinant

a b

c d

To find the determinant we take ad - bc

x + y = 8

x - y = 10

Take the coefficients of the x and y terms

1 1

1 -1

1 (-1) - (1) *1

-1 - 1

-2

Answer 2

Each X and Y in the equations don't have a number in front of them so they are all considered 1.

D = 1*(-1) - 1*(-1) = -1 -1 = -2

The answer is -2