Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - 9.8 Using Equations to Solve Application Problems - 9.8 Exercises: 25

Answer

the number is 7

Work Step by Step

Let the number be x four times a number is decreased by 2 4 times a number means 4x, So 4x - 2 the result is 26 4x - 2 =26 Solve the equation Add 2 on both sides of the equation 4x -2 + 2 = 26 + 2 4x = 28 Divide 4 on both sides of the equation $\frac{4x}{4}$ = $\frac{28}{4}$ x = 7 The solution is 7 Check. Go back to the original equation 4x - 2 =26 Replace x with 7 4*7 - 2 = 26 28 - 2 = 26 26 =26 True, so 7 is the correct solution
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