Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises: 14

Answer

4 ft

Work Step by Step

Let m be the length of the middle part of the table. Let l be the length of a leaf. $m+l=5.5$ $m+2l=7$ Multiply the first equation by -1, and add the equations to eliminate m. $m+\ \ l=5.5\ \ \ \ \ $ multiply by -1$\ \ \ \ -m-\ \ l=-5.5$ $m+2l=7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{m+2l=\ \ \ 7}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ l=1.5$ Substitute 1.5 for l in either equation to solve for m. $m+l=5.5$ $m+1.5=5.5$ $m+1.5-1.5=5.5-1.5$ $m=4$
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