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: 9

Answer

(5,4) consistent and independent

Work Step by Step

y=$\frac{1}{2}$x+$\frac{3}{2}$ y=0.5x+1.5 Plug the equivalent of y into the other given equation: y=$\frac{3}{2}$x-$\frac{7}{2}$ y=1.5x-3.5 (0.5x+1.5)=1.5x-3.5 1.5+3.5=1.5x-0.5x 5=x 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=0.5x+1.5 y=0.5(5)+1.5 y=2.5+1.5 y=4. Therefore the answer is (5,4). Since there is only one solution, the system is consistent and the lines are independent.
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