Write a two-column proof.
Given: 7y = 8x – 14; y = 6
Prove: x = 7
(4 points)
Statements:
1. 7y = 8x – 14 (Given)
2. Replace y with 6. 7(6) = 8x – 14 (Substitution)
3. 42 = 8x - 14 (Simplify)
4. Add 14 to both sides. 42 + 14 = 8x (Addition Property of Equality)
5. 56 = 8x (Simplify)
6. Divide both sides by 8. 7 = x (Division Property of Equality)
Reasons:
1. Given
2. Substitution
3. Simplify
4. Addition Property of Equality
5. Simplify
6. Division Property of Equality
Therefore, x = 7.