Page 84

miller_introductory_algebra_3e_ch1_3

126 Chapter 2 Linear Equations and Inequalities Applying the Multiplication Property of Equality Solve the equations by using the multiplication property of equality. Solution: To obtain a coefficient of 1 for the q-term, multiply by the reciprocal of , which is . Simplify. The product of a number and its reciprocal is 1. Check: 1 3 The solution is . ✔ True 1 3 3 2 2 9 a 3 2b 1 3 2 9 q 1 3 q 3 2 1q 3 2 92 29 a 9 2b a 2 9 qb 1 3 a 9 2b 2 9 q 1 3 2 9 q 1 3 Example 5 Applying the Division Property of Equality Example 6 Solve the equation by using the division property of equality. Solution: 3.43 0.7z To obtain a coefficient of 1 for the z-term, divide by Simplify. 3.43 0.7z 3.43 0.7 0.7z 0.7 0.7. 4.9 1z 4.9 z z 4.9 Check: 3.43 0.7z 3.43 0.714.92 The solution is 4.9. 3.43 3.43 ✔ True Skill Practice Solve the equation. 15. 2 3 a 1 4 Skill Practice Solve the equation. 16. 6.82 2.2w Answers 15. 16. 3.1 3 8 TIP: When applying the multiplication or division property of equality to obtain a coefficient of 1 for the variable term, we will generally use the following convention: • If the coefficient of the variable term is expressed as a fraction, we will usually multiply both sides by its reciprocal, as in Example 5. • If the coefficient of the variable term is an integer or decimal, we will divide both sides by the coefficient itself, as in Example 6. Classroom Example: p. 130, Exercise 46 Classroom Example: p. 130, Exercise 52


miller_introductory_algebra_3e_ch1_3
To see the actual publication please follow the link above