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By Lial M.L., Hornsby J.

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The equations that are used to solve such problems involve decimal coefficients. We can clear these decimals by multiplying by a power of 10 that allows us to obtain integer coefficients. 07͑15͒. Since each decimal number is given in hundredths, multiply both sides of the equation by 100. 09͑15 Ϫ x͒, by 100, remember the associative property: To multiply three terms, first multiply any two of them. 09͒͑15 Ϫ x͒ becomes 9͑15 Ϫ x͒. 07͑15͒ Multiply each term by 100. 07͑15͒ 6x ϩ 9͑15 Ϫ x͒ ෇ 7͑15͒ 6x ϩ 9͑15͒ Ϫ 9x ෇ 105 Ϫ3x ϩ 135 ෇ 105 Ϫ3x ϩ 135 Ϫ 135 ෇ 105 Ϫ 135 Ϫ3x ෇ Ϫ30 Ϫ3x Ϫ30 ෇ Ϫ3 Ϫ3 x ෇ 10 Distributive property; multiply.

That is, does a ϩ ͑b и c͒ ෇ ͑a ϩ b͒͑a ϩ c͒ for all real numbers, a, b, and c? To find out, try some sample values of a, b, and c. 70. Are there any different numbers that satisfy the statement a Ϫ b ෇ b Ϫ a? Give an example if your answer is yes. An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 1 Linear Equations, Inequalities, and Applications Linear Equations in One Variable OBJECTIVES 1 Decide whether a number is a solution of a linear equation.

Now Try Exercises 29 and 31. The additive identity property gives a special property of 0, namely that a ϩ 0 ෇ a for any real number a. The multiplication property of 0 gives a special property of 0 that involves multiplication: The product of any real number and 0 is 0. OBJECTIVE 5 Use the multiplication property of 0. Multiplication Property of 0 For any real number a, aؒ0‫؍‬0 and 0 ؒ a ‫ ؍‬0. An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 4 EXERCISES For Extra Help Student’s Solutions Manual Choose the correct response in Exercises 1–4.

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Algebra for College Students by Lial M.L., Hornsby J.


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