Respuesta :
Answer:
Distributive property says that:
[tex]a\cdot(b+c) = a\cdot b + a\cdot c[/tex]
Addition property of equality:
if x = y then x+z = y+z
Division property of equality:
if x = y then [tex]\frac{x}{z}=\frac{y}{z}[/tex]
As per the statement:
Given the equation: [tex]-3(x+2)=9[/tex]
Tyra solve this equation as shown below:
1.
[tex]-3x -6 = 9[/tex] [Distributive property]
2.
[tex]-3x = 15[/tex] [Addition property of equality]
3.
[tex]x = -5[/tex] {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.
[tex]a.(b+c)=a.b+a.c[/tex]
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
[tex]\frac{a}{c}[/tex]=[tex]\frac{b}{c}[/tex]
Therefore the property used in line 1 is :
Distributive property
