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Exercises

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Exercise 8

What is the reason for statement 15?

Given: A = B, B = C, X = Y, Y = Z, H = G, G ≠ 0

Prove:

StatementsReasons
1. A = BGiven
2. B = CGiven
3. X = YGiven
4. Y = ZGiven
5. H = GGiven
6. G ≠ 0Given
7. A = CTransitive Property (1 and 2)
8. H ≠ 0Substitution Property (5 and 6)
9. AB = BBMultiplication Property (1)
10. AB = BCSubstitution Property (9 and 2)
11. Division Property (10 and 6)
12. Substitution Property (11 and 5)
13. Multiplication Property (12)
14. X = ZTransitive Property (3 and 4)
15. ?
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