48 Chapter 1 Linear Equations and Inequalities in One Variable Solving a Linear Equation Solve the linear equation and check the answer. Solution: Apply the distributive property to clear parentheses. Subtract 5z from both sides. Combine like terms. Subtract 2 from both sides. Combine like terms. To isolate z, divide both sides of the equation by 6. Simplify. Check: 11z 2 51z 22 11122 2 512 22 22 2 5142 ✓ True. 11z 2 51z 22 11z 2 5z 10 11z 5z 2 5z 5z 10 6z 2 10 6z 2 2 10 2 6z 12 526 6z 6 The solution set is . Skill Practice Solve the equations. 6. 7 21y 32 6y 3 20 20 z 2 12 6 11z 2 51z 22 Example 4 Solving a Linear Equation Example 5 Solve the equation. Solution: 31x 42 2 7 1x 12 Clear parentheses. Combine like terms. Add x to both sides of the equation. Combine like terms. 31x 42 2 7 1x 12 3x 12 2 7 x 1 3x 14 x 6 3x x 14 x x 6 2x 14 6 2x 14 14 6 14 Subtract 14 from both sides. Answer 6. e 1 2 f
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above