134 Chapter 2 Linear Equations and Inequalities Skill Practice Solve the equation. 5. 1.5t 2.3 3.5t 1.9 Answer 5. 2.1 Step 3: Add 6 to both sides to collect the constant terms on the other side. Step 4: Divide both sides by 2 to obtain a coefficient of 1 for p. Step 5: Check: 7 3 21p 32 10 218 32 10 2152 10 6 2p 6 6 16 2p 16 2 2p 2 8 p The solution is 8. 10 10 ✔ True Example 5 Solve the equation. 2.2y 8.3 6.2y 12.1 Solution: Solving a Linear Equation Step 1: The right- and left-hand sides are already simplified. Step 2: Subtract 2.2y from both sides to collect the variable terms on one side of the equation. Step 3: Subtract 12.1 from both sides to collect the constant terms on the other side. Step 4 : To obtain a coefficient of 1 for the y-term, divide both sides of the equation by 4.0. Step 5: Check: 2.2y 8.3 6.2y 12.1 2.215.12 8.3 6.215.12 12.1 11.22 8.3 31.62 12.1 2.2y 8.3 6.2y 12.1 2.2y 2.2y 8.3 6.2y 2.2y 12.1 8.3 4.0y 12.1 8.3 12.1 4.0y 12.1 12.1 20.4 4.0y 20.4 4.0 4.0y 4.0 5.1 y y 5.1 The solution is 5.1. 19.52 19.52 ✔ True Classroom Example: p. 138, Exercise 46 TIP: In Examples 5 and 6 we collect the variable terms on the right side to avoid negative coefficients on the variable term.
miller_introductory_algebra_3e_ch1_3
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