Question

Name each indicated property. If $x=y$ and $y=-4$, then $x=-4$.

Name: Problem 13, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-04-25T03:30:43-08:00
Duration: 32 s
Channel: Julie Silva
Description: Name each indicated property. If x=y and y=-4, then x=-4.

   Name each indicated property.
If $x=y$ and $y=-4$, then $x=-4$.

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 2, Problem 13

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Solved by Expert Julie Silva

04/25/2020

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This is the property of equality (or substitution property). Show more…

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Name each indicated property. If $x=y$ and $y=-4$, then $x=-4$.

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Key Concepts

Transitive Property of Equality

This property states that if one quantity equals a second, and the second equals a third, then the first must equal the third. In the given problem, since x equals y and y equals –4, the transitive property allows us to conclude that x equals –4.

Substitution Property of Equality

This principle allows one to substitute an equal quantity in place of a variable in an equation. Here, because x is equal to y, the value –4, which is equal to y, can be substituted for y in the equation, yielding x = –4.

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