Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.4 - An Introduction to Problem Solving - Exercise Set - Page 132: 9


x=3 2x=6 1+5x=16

Work Step by Step

Because you are trying to find the length of each section of the metal first figure out how long the whole strip is. 25 inches Now that you know the given set all of the small pieces lengths equal to 25 inches (x)+(2x)+(1+5x)=25 Combine like terms 8x+1=25 Subtract the 1 from both sides 8x=24 Divide by 8 x=3 Plug 3 into each value for x to see the separate lengths x=3 2(3)=6 1+5(3)=16 Add them all together to check your work 3+6+16=25
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