Question

The transitive property of equality states that:

O if a = b, then bra
O if a = b, then ac = bc
O if a = b and b= c, then a =
if a = b and c= C, then a + b = b + c

Answer 1

The correct answer option is: If a = b and b = c, then a = c.

Step-by-step explanation:

The Transitive Property of Equality states that if one value, lets say
`a` is equal to another value, call it
`b`, which is equal to another value, call it
`c`, then the very first value
`a` would be equal to the third value
`c`.

So from the given answer options, the correct option is: If a = b and b = c, then a = c.

Answer 2

Answer: If
`a=b` and
`b=c`, then
`a=c`

Explanation:

Let be "a", "b", and "c" all real numbers, the Transitive property of equalities states that :

If
`a=b` and
`b=c`, then
`a=c`

You can observe that if two numbers are equal to the same number, then all this numbers are equal to each other.

For example, applying the Transitive property of equalities to:

`x+3=5` and
`2x+1=5`

You can equate them:

`x+3=2x+1`

And solve for "x":

`3-1=2x-x\\\\x=2`