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: 39


$(2, 4)$

Work Step by Step

$3.5x+2.5y=17$ $-1.5x-7.5y=-33$ Multiply both equations by 2. $7x+5y=34$ $-3x-15y=-66$ Multiply the first equation by 3. $21x+15y=102$ $-3x-15y=-66$ Add both equations. $18x=36$ $x=2$ Solve for $y$. $3.5x+2.5y=17$ $3.5(2)+2.5y=17$ $7+2.5y=17$ $2.5y=10$ $y=4$ $x=2; y=4$ $(2, 4)$
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