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miller_intermediate_algebra_4e_ch1_3

50 Chapter 1 Linear Equations and Inequalities in One Variable Answer 9. 526 3w 4w 12 6w 24 7w 12 6w 24 w 12 24 5126 Solving a Linear Equation by Clearing Fractions Solve. Solution: x 2 5 2 5 1 10 1 ax 2 5 b 10 1 ax 4 2 b 10 1 a2 1 b 10 1 ax 4 10 b 10 ax 2 5 x 4 2 b 10 a2 1 x 4 10 b x 4 2 2 1 x 4 10 x 2 5 x 4 2 2 x 4 10 Example 8 1 1 1 TIP: Clearing fractions is an application of the multiplication property of equality. We are multiplying both sides of the equation by the same number. Solving a Linear Equation by Clearing Fractions Solve the equation. Solution: Clear parentheses. Apply the distributive property. Subtract 6w. The solution checks. The solution set is . Skill Practice Solve the equation by first clearing the fractions. 9. 3 4 a 1 2 2 3 a 1 3 w 12 12 1 4 w 12 1 3 w 12 112 12 1 2 w 12 122 12 a1 4 w 1 3 w 1b 12 a1 2 w 2b 1 4 w 1 3 w 1 1 2 w 2 1 4 w 1 3 w 1 1 2 1w 42 1 4 w 1 3 w 1 1 2 1w 42 Example 7 Multiply both sides of the equation by the LCD of all terms. In this case, the LCD is 12. The LCD of all terms in the equation is 10. Multiply both sides by 10. Apply the distributive property.


miller_intermediate_algebra_4e_ch1_3
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