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: 34



Work Step by Step

You have the equations:3x+2y=5 and 4x+5y=16. Multiply the first equation by 4 and the second equation by -3 in order to be able to eliminate a variable: 4(3x+2y=5) 12x+8y=20 ---- -3(4x+5y=16) -12x-15y=-48. Combine the equations in order to eliminate a variable: 12x+8y=20 -12x-15y=-48 -7y=-28 y=4 Plug in y=4 into one of the equations: 3x+2(4)=5 3x+8=5 3x=-3 x=-1. Substitute y=4 and x=-1 into one of the equations in order to check the solution: 4(-1)+5(4)=16 -4+20=16 16=16 The solution is (-1,4)
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