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Editor’s collection of notes:
Pre-Algebra
Property, Equality: Substitution
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from study.com
The substitution property of equality, one of the eight properties of equality, states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation.
Let's look at a quick and simple example. If we know that x = y and we have the equation x + 5 = 7, then we can substitute y for x and write the equation as y + 5 = 7.
Why is It Important?
In short, the substitution property of equality makes algebra possible. If we did not use this property in algebra, we would not be able to plug in known values for variables into mathematical expressions and equations. Even though the property is pretty easy to comprehend, it is a big deal when it comes to mathematics, especially algebra!
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