Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-4 Applications of Linear Systems - Lesson Check - Page 390: 5



Work Step by Step

Given: $3x+2y=9$ $-2x+3y=5$ Use elimination since we can make the coefficients of one variable be the same. Multiply the first equation by $2$ and the second equation by $3$: $6x+4y=18$ $-6x+9y=15$ __________________ $13y=33$ $y=\frac{33}{13}$ Solve for x: $6x+4(\frac{33}{13})=18$ $x=\frac{17}{13}$
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