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: 1

Answer

(4,11) Consistent and independent

Work Step by Step

y=x+7 The above equation has y isolated, so you plug its equivalent into the other equation in place of y: y=2x+3 (x+7)=2x+3 7-3=2x-x 4=x x=4. 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=x+7 y=(4)+7 y=11. Therefore the answer is (4, 11). There is one solution, so the system is consistent and the lines are independent.
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