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:
2 answers:
Answer:
Distributive property says that:
![a\cdot(b+c) = a\cdot b + a\cdot c](https://tex.z-dn.net/?f=a%5Ccdot%28b%2Bc%29%20%3D%20a%5Ccdot%20b%20%2B%20a%5Ccdot%20c)
Addition property of equality:
if x = y then x+z = y+z
Division property of equality:
if x = y then ![\frac{x}{z}=\frac{y}{z}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bz%7D%3D%5Cfrac%7By%7D%7Bz%7D)
As per the statement:
Given the equation: ![-3(x+2)=9](https://tex.z-dn.net/?f=-3%28x%2B2%29%3D9)
Tyra solve this equation as shown below:
1.
[Distributive property]
2.
[Addition property of equality]
3.
{Division property of equality]
Therefore, the property Tyra used in line 1 was : Distributive Property.
Answer: In line 1 distributive property is used
Step-by-step 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](https://tex.z-dn.net/?f=a.%28b%2Bc%29%3Da.b%2Ba.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
=
Therefore the property used in line 1 is :
Distributive property
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