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: 21

Answer

$ y=-0.5, x=0 $

Work Step by Step

We solve the system of linear equations using substitution to obtain: $ 7x-2y=1 $ $ 2y=x-1 = x=2y+1$ $ 7(2y+1)-2y=1 \\ 14y+7-2y=1\\ 12y=-6\\ y=-0.5\\ $ $x=2y+1 \\ x=2(-0.5)+1 \\ x=-1+1 \\ x=0$
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