Section 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 107 z 4.9 3.43 0.7z Check: 3.43 0.714.92 The solution set is {4.9}. ✔ True Skill Practice Solve the equation. 11. Applying the Multiplication Property of Equality 6.82 2.2w Solve the equation by using the multiplication property of equality. Solution: is equivalent to Simplify. Check: d 6 1 6 d 4 1d 24 6 1 The solution set is {24}. ✔ True Skill Practice Solve the equation. 12. It is important to distinguish between cases where the addition or subtraction properties of equality should be used to isolate a variable versus those in which the multiplication or division property of equality should be used. Remember the goal is to isolate the variable term and obtain a coefficient of 1. Compare the equations: In the first equation, the relationship between 5 and x is addition. Therefore, we want to reverse the process by subtracting 5 from both sides. In the second equation, the relationship between 5 and x is multiplication.To isolate x, we reverse the process by dividing by 5 or equivalently, multiplying by the reciprocal, 5 x 20 and 5x 20 5x 5 20 5 5 5 x 20 5 x 15 x 4 15 . 5 x 20 and 5x 20 x 5 8 4 4 24 6 4 d 6 d 24 4 1 6 d 4 6 1 1 6 d. d 6 4 d 6 4 Example 7 3.43 3.43 Answers 11. {3.1} 12. {40} 61 16 To obtain a coefficient of 1 for the d-term, multiply by the reciprocal of , which is .
miller_beginning_intermediate_algebra_4e_ch1_3
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