Question

which property is illustrated by the following?
8x-17=51
8x=68

Answer 1

addition b/c 51+17=68

Answer 2

associative because you can do this:

Answer 3

associative is (a+b)+c=a+(b+c)

Answer 4

or
(ab)c=a(bc)

Answer 5

8x-17+17=51+17
8x=68

Answer 6

Sorry I was trying to split it up and show it could be the same on both sides

Answer 7

or maybe its inverse property on one side and addition property on the other side

Answer 8

8x-17-51=0
same as
8x-68=0

Answer 9

a-b-c
(a-b)-c
NOT the same thing as a-(b-c)
so not associative.

Answer 10

Additive is not a property though:
http://mathforum.org/dr.math/faq/faq.property.glossary.html

Answer 11

You know what this is? It's the property of equality. They are equal.

Answer 12

8x-17=51
is simply equivalent to:
8x=68

Therefore it's an illustration of the property of equality.

Answer 13

I at first thought it could be associative because you can break 68 up into 51+17, but it is not correct.

Answer 14

To be clear, this is:
The symmetric property of equality, which says that if a = b, then b = a.