Why does it make sense to describe an equation that has infinitely many solutions as an identity?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section: Chapter Questions
Problem 35CLR
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2. Vocabulary Why does it make sense to describe an equation that has infinitely many solutions as an identity?

 
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