Fill in the missing reasons for the following two-column proof: Given: 5x + 1 = 21 Prove: x = 4 (3 points)

Question

1. 5x+1=21 1. Response area 2. 5x=20 2. Response area 3. x=4 3. Response area

Answer 1

1. 5x + 1 = 21                                                                                           Given
2. Subtract 1 from both sides: 5x + 1 - 1 = 21 - 1                       Subtraction Property of Equality
3. Simplify both sides: 5x = 20                                                         Simplification
4. Divide both sides by 5: (5x)/5 = 20/5                                           Division Property of Equality
5. Simplify both sides: x = 4                                                               Simplification