Question

Hattie rewrote the equation as shown:9n+7-2n = 4(-n+ 5) - 3n9n+7-2n= -4n+20-3nWhich property did she use to rewrite the equation

Answer 1

Answer:

The property used to rewrite the equation is distributive property (option B)

Step-by-step explanation:

Given:

9n+7-2n = 4(-n+ 5) - 3n

9n+7-2n= -4n+20-3n

To find:

the property used to rewrite the equation

The initial equation:

9n+7-2n = 4(-n+ 5) - 3n

In the 2nd equation, the parenthesis was already removed

To remove the parenthesis, the number outside will be used to multiply the number or expression insides

`\begin{gathered} 9n\text{ + 7 - 2n = 4\lparen-n\rparen + 4\lparen5\rparen - 3n} \\ 9n\text{ + 7 - 2n = -4n + 20 - 3n} \\ \\ The\text{ property where expansion of parenthesis is done this way is called distributive property} \end{gathered}`

The property used to rewrite the equation is distributive property (option B)