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

Discrete Math
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To find the determinant of a 2x2 matrix: \[A = \left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\\ |A|=det(A)=ad-cb\]
I'd actually forgotten how to do this since it's been so long, and it literally took a 2 second Google search ;)
a and c is the value of x and b and d is the value of y

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Other answers:

|dw:1361514044728:dw|
then find the determinant according to the formula given by @fewscrewsmissing

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