Thinking Mathematically (6th Edition)

Published by Pearson

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 373: 1

The number is 6.

Work Step by Step

step 1 Let x represent the unknown number in the problem. step 2 "five times x" = 5x " ... decreased by 4" = 5x-4 " the result is 26" is written as " = 26" step 3 The equation is $5x-4=26$ step 4 Solve the equation for x and answer the problem’s question. $5x-4=26\qquad/+4$ $5x=30\qquad/\div 5$ $x=6$ The number is 6. step 5 Check the solution in the original wording of the problem. Five times six (30), decreased by 4 (30-4=26) gives the result 26. OK.

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