What is the difference between the substitution home of equality and the transitive home of equality?
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You are watching: Difference between substitution and transitive property The substitution property the equality states:

If x=y climate y can be substituted for x in any kind of expression.

The transitive residential or commercial property of equality states:

If x=y and also y=z, then x=z

In the leg property, you room using the substitution property:

Given: x=y (1)

Given: y=z (2)

Substitute (1) in (2)

...

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The substitution property that equality states:

If x=y then y deserve to be substituted for x in any expression.

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The transitive building of equality states:

If x=y and also y=z, then x=z

In the leg property, you space using the substitution property:

Given: x=y (1)

Given: y=z (2)

Substitute (1) in (2)

Then: x=z

The substitution home is an ext general 보다 the leg property since one can not only substitute x for y in y=z yet on any expression. In other words, the transitive home is only one circumstances in which the substitution property deserve to be applied.

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