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 383: 33



Work Step by Step

You have the equations:2x+y=4 and 6x+7y=12. Multiply the first equation by -3 in order to be able to eliminate x: -3(2x+y=4) -6x-3y=-12 Combine the two equations in order to eliminate them: 6x+7y=12 -6x-3y=-12 4y=0 y=0 Plug in y=0 in one of the equations: 2x+0=4 2x=4 x=2 Check your work by plugging in y=0 and x=2 into one of the equations: 6(2)+7(0)=12 12+0=12 12=12 The solution is (2,0)
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