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: 2


(5,10) consistent and independent

Work Step by Step

y=6x-20 The above equation has y isolated, so we plug its equivalent into the other given equation: y=5x-15 (6x-20)=5x-15 6x-5x=-15+20 x=5. Now that we have the answer for the x-value, plug it back into one of the original equations to find the answer for the y-value: y=6x-20 y=6(5)-20 y=30-20 y=10. Therefore the answer is (6,10). There is one solution, so it is a consistent system and the lines are independent.
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