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Drag a statement or reason to each box to complete this proof.

If 3x−4=14, then x=6.

1. 3x−4=14 >>>> Given
2. 3x−4+4=14+4 >>>>?
3. Simplifying >>>>?
4. 3x3=183 >>>>?
5. >>>?

A. Simplifying
B. Division property of equality
C. Addition property of equality
D. x=6
E. 3x=18

Respuesta :

Yna9141
The items below show the complete steps as to how this is being answered.

  1. 3x - 4 = 14 >>>> Given
   2. 3x - 4 + 4 = 14 + 4 >>>
      Step number 2 above is an addition property of equality. Both sides of the equation are added with 4. 
  3. Simplifying >>>
      3x = 18
   4. 3x/3 = 18/3 >>>> Division property of equality
   5. >>>> Simplifying,
        x = 6

Hence, the order of the choices as answers is C, E, B, A, D. 

Answer:

C. Addition property of equality; E. 3x=18; B. Division property of equality; D. x=6 ; A. Simplifying  

Step-by-step explanation:

Between the first and second step, 4 has been added to each side of the equation.  The property that allows us to do this is the addition property of equality.

On the thirdp, we are told the reason is simplifying; to simplify the second step, we would combine like terms.  On the left that would give us 3x and on the right it would give us 18; thus we have 3x = 18.

For the fourth step, we have 3x/3 = 18/3; both sides have been divided by 3.  The property that allows us to do this is the division property of equality.

After we divide and simplify, we are left with x = 6; the justification is simplifying.

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