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 - Chapter Review - Page 410: 23

Answer

(4.5,3)

Work Step by Step

You have the equations:4x+y=21 and -2x+6y=9. Multiply the second equation by 2 to be able to combine the equations: 2(-2x+6y=9)=-4x+12y=18 Add the equations to eliminate the x-variable: 4x+y=21 -4x+12y=18 13y=39 -divide both sides by 13- y=3 Plug in y=3 into one of the equations: 4x+3=21 4x=18 x=4.5 The solution is (4.5,3)
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