Can you please let me know if this is the transitive or substitution property?
If y = z, then y + 14 = z + 14
Thank you!!!!
transitive relates 3 values:
a=b and b=c ==> a=c
Clearly this is just a case of substituting z for y, since y=z.
Thank you STEVE
To determine whether the given statement is an example of the transitive or substitution property, we need to understand the definitions of both properties.
1. Transitive Property: If a = b and b = c, then a = c. In other words, if two things are equal to a third thing separately, then they are equal to each other.
2. Substitution Property: If a = b, then we can replace a with b or b with a in any equation or expression.
Now, let's analyze the statement you provided:
"If y = z, then y + 14 = z + 14."
In this statement, we have two equations:
1. The given assumption is "y = z."
2. The conclusion is "y + 14 = z + 14."
To determine whether this is an example of the transitive or substitution property, we can see that we are not given any additional equation or statement. Hence, it does not fit the criteria of the transitive property.
However, we can observe that the equation "y + 14 = z + 14" is obtained by adding 14 to both sides of the equation "y = z." This implies that we are substituting "y = z" into the expression "y + 14" and "z + 14." Therefore, the given statement is an example of the substitution property.
In summary, the given statement "If y = z, then y + 14 = z + 14" exemplifies the substitution property.