Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.1 Systems of Linear Equations: Substitution and Elimination - 10.1 Assess Your Understanding - Page 734: 21

Answer

$x=8, y =-4 \text{ or } (8, -4)$

Work Step by Step

The system of equations is given by the following two equations: $$\begin{cases} 3x=24 \hspace{20pt} (1)\\[3mm] x+2y=0 \hspace{20pt} (2) \end{cases}$$ $\text{Solving equation (1) for x}$ $$3x = 24 \\[3mm] x=\dfrac{24}{3} \\[5mm] x = 8$$ $\text{Substituting in equation (2) for } x=8$ gives: $$8+2y= 0 \\[3mm] 2y= -8 \\[3mm] y=-4$$ Therefore, the solution is: $\boxed{x=8 \hspace{20pt} y =-4}$
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