Question

Which property of equality justifies the following sequence of statements?

If 3x+2y=72

and 2y=3z ,

then 3x+3z=72

a. Addition Property
b. Subtraction Property
c. Multiplication Property
d. Division Property
e. none of the above

Answer 1

e. None of the above

Explanation:

If
`3x+2y=72\\`

and
`2y=3z`

then
`3x+3z=72` [By Substitution property]

`2y` is being substituted by
`3z`

Since substitution property is not there in the choices, therefore 'none of the above' is correct.