Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 3 - Linear Systems - 3-2 Solving Systems Algebraically - Practice and Problem-Solving Exercises - Page 146: 12


y=4; x=20

Work Step by Step

We are told that x=8y-12. Because the expression x+12y=68 has two variables in it, we must make it in terms of one variable by substituting out a variable. Thus, we substitute 8y-12 in for x (because we know that x=8y-12) to obtain that 8y+12y-12=68. We solve to obtain that y equals 4. We plug y=4 into x=8y-12 to find that y equals 20.
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