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 - Page 384: 51



Work Step by Step

We have two equations: x-7=y and 2x-y=41. Substitute the first equation into the second equation: 2x-(x-7)=41 -distribute- 2x-x+7=41 -simplify like terms- x+7=41 -subtract 7 from both sides- x=34 Plug in x=34 into one of the equations: 2(34)-y=41 -distribute- 68-y=41 -subtract 68 from both sides- -y=-27 -->divide both sides by -1 y=27 Check your work by plugging in x=34 and y=27 into one of the equations: 34-7=27 27=27 The solution is (34,27)
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