Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

Chapter 2 - Systems of Linear Equations and Inequalities - 2.2 Solving Systems of Equations Using the Substitution Method - 2.2 Exercises: 7

Answer

(12,20) consistent and independent

Work Step by Step

H=k+8 Plug the equivalent of H into the other given equation: H=0.5k+14 (k+8)=0.5k+14 k-0.5k=14-8 0.5k=6 k=12. Now that we have the answer for the k-value, plug it back into one of the original equations to find the answer for the H-value: H=k+8 H=(12)+8 H=20. Therefore, the answer is (12,20). Since there is only one solution, the system is consistent and the lines are independent.

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