Multiplicative Identity 2
Multiplicative Property of Equality Variation 1
Transitive Property of Equality Variation 1
Distributive Property 4
Substitution 12
Commutative Property Example 2
Substitution 2
Substitution 8
Substitute 9
Associative Property of Multiplication 2
Transitive Property Application 1
Substitution 10
Division Theorem
Multiplicative Property of Equality Variation 2
Transitive Property of Equality Variation 3
Division is Commutative
Associative Property
Transitive Property of Equality Variation 2
Subtraction Example
Algebra 10 Help
Algebra 10

Proof: Substitute 9

Let's prove the following theorem:

if the following are true:
  • a + b = c
  • d = a

then d + b = c

Proof:

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Given
1 a + b = c
2 d = a
Proof Table
# Claim Reason
1 a = d if d = a, then a = d
2 d + b = c if a + b = c and a = d, then d + b = c
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