Question

Name the property of equality that justifies: If x=3 and y=x+5, then y=8

A. Addition Property of Equality
B. Distributive Propery of Equality
C. Substitution Property of Equality
D. Reflexive Property of Equality

Answer 1

A. Addition Property of Equality

You are adding 3 and 5 in order to get y = 8

Answer 2

Answer: C. Substitution Property of Equality

Explanation:

The substitution property of equality says that if a=b, then 'b' can be substituted in the place of 'a' or 'a' can be substituted in the place of 'b'.

For example : If a= 7 and b=a-2

Then we substitute a=7 , we get b=7-2=5

Similarly, we are given that If x=3 and y=x+5, then y=8

Here the value of x is substituted as 3, then y=3+5=8

Hence, the property of equality that justifies given statement : Substitution Property of Equality