To solve the equation: 24(34+x)=1,200 , give the reasons for each of the given steps. What was done to the previous step to get to the current equation? (4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1: 816+24x=1,200 Step 2: 816−816+24x=1,200 − 816 Step 3: 24x=384 Step 4: x=16

Question

awnsers: : Multiplication as the inverse operation to isolate the variable
: Distributive Property
: Subtraction as the inverse operation to isolate the variable
Combine Like Terms
: Addition as the inverse operation to isolate the variable
: Division as the inverse operation to isolate the variable

Answer 1

Here are the steps with the appropriate reasoning inserted:

1. Step 1: 816 + 24x = 1,200
   Reasoning: Distributive Property

2. Step 2: 816 - 816 + 24x = 1,200 - 816
   Reasoning: Subtraction as the inverse operation to isolate the variable

3. Step 3: 24x = 384
   Reasoning: Combine Like Terms

4. Step 4: x = 16
   Reasoning: Division as the inverse operation to isolate the variable