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 - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises: 7

Answer

(4,5)

Work Step by Step

You have the equations:3x+3y=27 and x-3y=-11. You solve them by elimination: 3x+3y=27 -combine the two equations- 1x-3y=-11 4x=16 -divide both sides by 4- x=4 Plug in x=4 into one of the equations: 3(4)+3y=27 -distribute- 12+3y=27 -subtract 12 from both sides- 3y=15 -divide both sides by 3- y=5 Check your work by plugging in x=4 and y=5 into an equation: 4-3(5)=-11 -distribute- 4-15=11 -simplify- 11=11 The solution is (4,5)
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