Section 2.3 Linear Equations: Clearing Fractions and Decimals 123 Answers 2. 3. e 7 3 45 2 e f f Add 20 to both sides. x 20 20 30 20 x 10 1 Divide both sides by . The check is left to the reader. x 10 The solution set is {10}. Skill Practice Solve the equation. 2. 2 5 x 1 2 7 4 3 10 x x 1 10 1 Solving a Linear Equation Containing Fractions Solve the equation. Solution: Clear parentheses. The LCD of 1 3 1 3 6 a x, and is 6. 13 Apply the distributive property. Combine like terms. Subtract 11. 2x 14 3x 3 24 x 11 24 x 11 11 24 11 x 13 x 1 13 1 Divide by 1. The check is left to the reader. 6 1 The solution set is {13}. Skill Practice Solve the equation. 3. 1 5 1z 12 1 4 1z 32 2 x 13 1 3 x 6 1 7 3 6 1 a 1 2 xb 6 1 a 1 2 b 6142 12 x, 73 , 12 1 3 x 7 3 1 2 x 1 2 b 6142 x 7 3 1 2 x 1 2 4 1x 72 1 2 1x 12 4 1 3 1x 72 1 2 1x 12 4 Example 3 2 2 3 3 TIP: In Example 3 both parentheses and fractions are present within the equation. In such a case, we recommend that you clear parentheses first. Then clear the fractions. Avoiding Mistakes When multiplying an equation by the LCD, be sure to multiply all terms on both sides of the equation, including terms that are not fractions.
miller_beginning_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above