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miller_prealgebra_2e_ch1_3

Section 3.2 Addition and Subtraction Properties of Equality 145 Answers 10. 20 11. 13 Applying the Addition and Subtraction Properties of Equality Example 4 Solve the equations. a. 8 3x 2x 12 9 b. 5 21y 12 y Solution: a. 8 3x 2x 12 9 Rewrite subtraction as addition of the opposite. 8 x 3 Combine like terms. 8 8 x 3 8 To isolate x, add 8 to both sides, because 8 8 0. x 11 The solution is 11. Check: 8 3x 2x 12 9 8 31112 21112 12 9 ✓ True b. 5 21y 12 y 8 33 22 3 25 22 3 Apply the distributive property to clear parentheses. Combine like terms. To isolate y, subtract 2 from both sides, because 2 2 0. On the left side, rewrite subtraction as addition of the opposite. The solution is 7. Check: 5 21y 12 y 5 217 12 172 5 2162 7 5 12 7 5 5 ✓ True 5 2y 2 y 5 y 2 5 2 y 2 2 5 122 y 0 7 y 3 3 8 3x 12x2 12 192 Skill Practice Solve the equations. 10. 15 6y 5y 4 9 11. 1 3(x 4) 2x


miller_prealgebra_2e_ch1_3
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