Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.1 Systems of Linear Equations: Substitution and Elimination - 11.1 Assess Your Understanding - Page 715: 39



Work Step by Step

We are given the system of equations: $\begin{cases} 3x-5y=3\\ 15x+5y=21 \end{cases}$ Use the elimination method. Add the two equations to eliminate $y$ and determine $x$: $3x-5y+15x+5y=3+21$ $18x=24$ $x=\dfrac{24}{18}$ $x=\dfrac{4}{3}$ Determine $y$ using the first equation: $3x-5y=3$ $3\left(\dfrac{4}{3}\right)-5y=3$ $4-5y=3$ $5y=1$ $y=\dfrac{1}{5}$ The solution set of the system is: $\left\{\left(\dfrac{4}{3},\dfrac{1}{5}\right)\right\}$
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