Make a two column proof to solve ½ (4x – 6) = 15.

Answer 1

| Statements | Reasons |
|----------------------|----------------------------------------------|
| 1. Given | |
| 2. Start with given equation | |
| 3. Distributive property | |
| 4. Simplify the equation | |
| 5. Multiply both sides by 2 | |
| 6. Solve for x | |
| 7. Final answer | |

Statement 1: Given
Statement 2: Start with given equation 1/2(4x - 6) = 15
Statement 3: Distributive property: 1/2(4x) - 1/2(6) = 15
Statement 4: Simplify the equation: 2x - 3 = 15
Statement 5: Multiply both sides by 2: (2x - 3) * 2 = 15 * 2
Statement 6: Solve for x: 4x - 6 = 30
Statement 7: Final answer: x = 9