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 - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises - Page 375: 20


$ x=5, y=2 $

Work Step by Step

To solve this system, first simply the first equation so that x is separated on the other side of the '=' symbol. Then, substitute 'y+3' for x in the second equation, and solve. After getting the 'y' value, substitute that into the first equation, and you can get the 'x' value. $ 4y+3=3y+x = x=y+3 $ $ 2x+4y=18 $ $2(y+3)+4y=18 $ $2y+6+4y=18 $ $6y+6=18 $ $6y=12 $ $y=2$ $x=y+3$ $x=2+3 $ $x=5 $
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