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: 20


One solution (-1,13)

Work Step by Step

You have the equations 7x+y=6 and 5x+3y=34. Multiply the first equation by 3 to be able to eliminate: 3(7x+y=6)=21x+3y=18. Solve for the solution using elimination- 21x+3y=18 5x+3y=34 -subtract the equation in order to eliminate the y-variable- 16x=-16 -divide both sides by 16- x=-1 Plug in x=-1 into one of the equations to solve for y- 7(-1)+y=6 -distribute- -7+y=6 -add 7 to both sides- y=13 There is one solution (-1,13)
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