Answer
$$-5$$
Work Step by Step
We find the determinant of the matrices using the rules of matrices. Doing this, we find:
$$ \det \begin{pmatrix}-2&-5\\ 3&10\end{pmatrix}\\ \left(-2\right)\cdot \:10-\left(-5\right)\cdot \:3\\ -5$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 8 - Systems of Linear Equations and Problem Solving - Review Exercises: Chapter 8 - Page 571: 33
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