148 Chapter 2 Linear Equations and Inequalities Avoiding Mistakes 5x 12 In the expression do not try to divide the 2 into the 12. The divisor of 2 is dividing the 2 entire quantity, (not just the 12). We may, however, apply the divisor to each term individually in the numerator. That is, can be written in several different forms. Each is correct. 5x 2 or y Solving for an Indicated Variable C 59 The formula is used to find the temperature,C, in degrees Celsius for a given temperature expressed in degrees Fahrenheit, F. Solve the formula for F. Solution: Clear parentheses. Multiply: Multiply by the LCD to clear fractions. Apply the distributive property. Simplify. Add 160 to both sides. Divide both sides by 5. 5 9 1F 322 5 9 F 5 9 F 5 9 32 160 9 C C 9C 5F 160 9C 160 5F 160 160 9C 160 5F 9C 160 9C 160 The answer may be written in several forms: or 9C 5 Skill Practice Solve for the indicated variable. 3. y for x. 1 3 1 x 72 F 9 5 F 1 C 32 160 5 F 9C 160 5 5 F 5 5F 5 9C 9 1 5 9 F 9 1 160 9 91C2 9a 5 9 F 160 9 b 5 9 32 1 160 9 C . C 59 1F 322 1F 322 Example 2 Answers 1. 2. a 3. x 3y 7 7 4b 2 or a 4b 7 2 l A w Skill Practice Solve for the indicated variable. 1. A lw for l 2. 2a 4b 7 for a 5 2 y 1 x 6 12 2 y 5x 12 2 y 5x 12 2 5x 12
miller_beginning_intermediate_algebra_4e_ch1_3
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