pookierulez17
contestada

10. Amelia claims that the solution to -10x + 2(3x + 5) ---2x is x = 5. She shows the following steps to
justify her solution.
Given:
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
-10x + 2 (3x + 5) = -2x
-10x + 6x + 10 = -2x
4x +10 = -2x
4x +4x +10 = -2x + 4x
0 + 10 = 2x
10 = 2x
5=x
Select all correct justifications for the steps shown above.
A. Step 1 is justified by the distributive property.
B. Step 2 is justified by the addition property of equality.
C. Step 3 is justified by the addition property of equality.
D. Step 4 is justified by the property of additive identity.
E. Step 5 is justified by the property of additive identity.

Respuesta :

frika

Answer:

A, C, E

Step-by-step explanation:

  Step              Statement                             Reason

Step 0           [tex]-10x+2(3x+5)=-2x[/tex]            Given

Step 1          [tex]-10x+6x+10=-2x[/tex]               Distributive property (option A is true).

Step 2             [tex]-4x+10=-2x[/tex]                     Combine like terms (option B is false)

Step 3             [tex]-4x+4x+10=-2x+4x[/tex]    Addition property of equality (option C is true).

Step 4               [tex]0+10=2x[/tex]                          Additive inverse property (option D is false)

Step 5              [tex]10=2x[/tex]                                 Additive identity property (option E is true)

Last step          [tex]x=5[/tex]                                    Division property of equality    

Otras preguntas