Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 2 - Systems of Linear Equations and Inequalities - 2.2 Solving Systems of Equations Using the Substitution Method - 2.2 Exercises - Page 151: 6

Answer

(10,20) consistent and independent

Work Step by Step

W=4p-20 Plug the equivalent of W into the other given equation: W=$\frac{1}{2}$p+15 (4p-20)=$\frac{1}{2}$p+15 2(4p-20)=p+30 8p-40=p+30 8p-p=30+40 7p=70 p=10. Now that we have the answer for the p-value, plug it back into one of the original equations to find the answer for the W-value: W=4p-20 W=4(10)-20 W=40-20 W=20. Therefore, the answer is (10,20). There is only one solution, so the system is consistent and the lines are independent.
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