Section 1.1 Linear Equations in One Variable 51 Answers 10. e 11. 50.56 3 14 f Clear fractions. Apply the distributive property. Simplify both sides of the equation. Subtract x from both sides. Subtract 16 from both sides. The value 2 checks in the original equation. 21x 22 51x 42 20 11x 42 2x 4 5x 20 20 x 4 3x 16 x 24 4x 16 24 526. The solution set is Skill Practice Solve. 10. 1 8 x 3 4 3x 2 2 4x 8 x 2 The same procedure used to clear fractions in an equation can be used to clear decimals. Solving a Linear Equation by Clearing Decimals Example 9 Solve the equation. 0.55x 0.6 2.05x Solution: Recall that any terminating decimal can be written as a fraction.Therefore, the equation is equivalent to 55 100 x 6 10 205 100 x 0.55x 0.6 2.05x A convenient common denominator for all terms in this equation is 100. Multiplying both sides of the equation by 100 will have the effect of “moving” the decimal point 2 places to the right. Multiply both sides by 100 to clear decimals. Subtract 55x from both sides. To isolate x, divide both sides by 150. The solution checks. 10010.55x 0.62 10012.05x2 55x 60 205x 60 150x 2 5 60 150 x x 0.4 50.46 The solution set is . Skill Practice Solve the equation by first clearing the decimals. 11. 2.2x 0.5 1.6x 0.2
miller_intermediate_algebra_4e_ch1_3
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