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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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