College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.3 - Systems of Linear Equations: Determinants - 8.3 Assess Your Understanding - Page 583: 51

Answer

$x=-5$

Work Step by Step

2 by 2 determinant: $D=\left|\begin{array}{ll} a & b\\ c & d \end{array}\right|=ad-bc$ --- $\left|\begin{array}{ll}{x}&{x}\\{4}&{3}\end{array}\right|=3x-4x=-x$, so we are solving $-x=5$ $x=-5$
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