# Substitution Property of Equality

Pronunciation: /ˈsʌb.stɪˌtu.ʃən ˈprɒp.ər.ti ʌv ɪˈkwɒl.ɪ.ti/ Explain

The substitution property of equality states that, if a = b, then b can be substituted for a in any equation without changing the truth value of the equation. For example:

• Let a = b.
• Let d = a + 2.
• Then d = b + 2.

### References

1. McAdams, David E.. All Math Words Dictionary, substitution property of equality. 2nd Classroom edition 20150108-4799968. pg 172. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. substitution. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 12/13/2018. http://www.merriam-webster.com/dictionary/substitute. Buy the book

McAdams, David E. Substitution Property of Equality. 5/7/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/s/substitutionpropofequality.html.

### Revision History

5/7/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)