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: 13

Answer

p=.75; q=2.5

Work Step by Step

We are told that q=2p+1. Because the expression 4p+2q=8 has two variables in it, we must make it in terms of one variable by substituting out a variable. Thus, we substitute 2p+1 in for q (because we know that q=2p+1) to obtain that 4p + 2(2p+1) =8. We use the distributive property, simplify and solve to obtain that p equals .75. We plug p=.75 into q=2p+1 to find that q equals 2.5.
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