Algebra 1

by Hall, Prentice

Published by Prentice Hall

ISBN 10: 0133500403

ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-4 Application of Linear Systems - Mixed Review - Page 388: 34

Answer

x=4 y=2.5

Work Step by Step

Given: 5x+8y=40 and 3x-10y=-13 -3(5x+8y=40)=-15x-24y=-120 5(3x-10y=-13)=15x-50y=-65 (-15x-24y)+(15x-50y)=-120+(-65) -15x+15x-24y-50y=-185 -74y=-185 => y=2.5 Substitute in y value: 5x+8(2.5)=40 => 5x+20=40 => 5x=20 => x=4 Solution (4,2.5)

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