Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set - Page 308: 32



Work Step by Step

$2x-\frac{3y}{4}=-3$ $x+\frac{y}{9}=\frac{13}{3}$ Multiply the first equation by 4 and the second equation by 9. $8x-3y=-12$ $9x+y=39$ Multiply the second equation by 3. $8x-3y=-12$ $27x+3y=117$ Add both equations. $35x=105$ $x=3$ Solve for $y$. $2x-\frac{3y}{4}=-3$ $2(3)-\frac{3y}{4}=-3$ $6-\frac{3y}{4}=-3$ $\frac{3y}{4}=9$ $3y=36$ $y=12$ $x=3; y=12$ $(3,12)$
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