Question

yra solves the equation as shown. - 3(x+2) = 9 1. - 3x - 6 = 9 2. - 3x = 15 3. x = - 5 The property Tyra used in line 1 was the:

Answer 1

Answer: In line 1 distributive property is used

Explanation:

Given equation :

-3(x+2)=9

Tyra solves it as :

1. -3x-6=9

2. -3x=15

3. x=-5

In 1. Distributive property is used i.e.

`a.(b+c)=a.b+a.c`

2. Addition property is used

i.e.If a=b then a+c=b+c

3. Division property is used

i.e. If a=b then

`(a)/(c)`=
`(b)/(c)`

Therefore the property used in line 1 is :

Distributive property

Answer 2

Distributive property says that:

`a\cdot(b+c) = a\cdot b + a\cdot c`

Addition property of equality:

if x = y then x+z = y+z

Division property of equality:

if x = y then
`(x)/(z)=(y)/(z)`

As per the statement:

Given the equation:
`-3(x+2)=9`

Tyra solve this equation as shown below:

1.

`-3x -6 = 9` [Distributive property]

2.

`-3x = 15` [Addition property of equality]

3.

`x = -5` {Division property of equality]

Therefore, the property Tyra used in line 1 was : Distributive Property.