1. Holt McDougal Algebra 1 1-5 Solving Equations with Variables on Both Sides 1-5 Solving Equations with Variables on Both Sides Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt McDougal Algebra 1

2. 1-5 Solving Equations with Variables on Both Sides Solve 7n – 2 = 5n + 6. Example 1: Solving Equations with Variables on Both Sides

3. Holt McDougal Algebra 1 1-5 Solving Equations with Variables on Both Sides Solve 4b + 2 = 3b. Check It Out! Example 1a

4. Holt McDougal Algebra 1 1-5 Solving Equations with Variables on Both Sides Solve 4 – 6a + 4a = –1 – 5(7 – 2a). Example 2: Simplifying Each Side Before Solving Equations

5. Holt McDougal Algebra 1 1-5 Solving Equations with Variables on Both Sides Solve. Check It Out! Example 2a

6. Holt McDougal Algebra 1 1-5 Solving Equations with Variables on Both Sides An identity is an equation that is true for all values of the variable. An equation that is an identity has infinitely many solutions. Some equations are always false. These equations have no solutions.

7. Holt McDougal Algebra 1 1-5 Solving Equations with Variables on Both Sides Solve 10 – 5x + 1 = 7x + 11 – 12x. Example 3A: Infinitely Many Solutions or No Solutions

8. Holt McDougal Algebra 1 1-5 Solving Equations with Variables on Both Sides Solve 12x – 3 + x = 5x – 4 + 8x. Example 3B: Infinitely Many Solutions or No Solutions