Which property justifies this statement?

if x=y+2x=y+2 and y+2=8y+2=8, then x=8x=8.

symmetric property of equality

addition property of equality

subtraction property of equality

transitive property of equality

option D

Transitive property of equality

Explanation:

Transitive property of equality justifies the statement:

x=y+2 , y+2=8 then;  x= 8

Transitive property of equality states that if we have two things that are equal to each other and the second thing is equal to a third thing then, the first thing is also equal to the third thing.

In mathematical terms: if a=b and b=c then a=c.

As per the given statement:

a = x , b= y+2 and c= 8

then,

a=b i.e, x=y+2 and

b=c i.e, y+2 =8 then

by using transitive property of equality, we get;

a=c i.e, x=8

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