Which expressions correctly shows the substitution property?

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)
13 + 3 ÷ 3 = 13 + 1
13 + 3 ÷ 3 = 16 ÷ 3
13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

The correct answers are:

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)

13 + 3 ÷ 3 = 13 + 1

13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

Let's look into them one by one:

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)

As anything multiplied by one will not have changes in value, this is correct.

13 + 3 ÷ 3 = 13+(3÷3) = 13 + 1

As 3÷3 is 1,this is also correct.

13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

As anything plus zero will not have a chnage in value, this is correct.

The incorrect option:

13 + 3 ÷ 3 ≠ 16 ÷ 3

Unless there are brackets indicating addition has to be done first, devision comes before addition hence this is not correct.

Hope it helps!

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!