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 - Mid-Chapter Quiz - Page 393: 10


Solutions: (3.5, 10)

Work Step by Step

Our two equations are: 1. 4x+2y=34 2. 10x-4y=-5 First lest multiply the first equation by a scalar of 2. We get: 1. 8x+4y=68 2. 10x-4y=-5 Now lets add the two equations. That gives us: 18x=63 (Divide both sides by 18) x=3.5 Now lets substitute this value of x into the first equation to get the value of y. 4(3.5)+2y=34 (Simplify) 14+2y=34 (Subtract 14 from both sides) 2y=20 (Divide both sides by 2) y=10 So our solution is (3.5, 10)
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