Match the step with the correct result of the step process for solving this equation.

−5x−x+15=−3(2x−5)

(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 - Distributive Property
Step 2 - Combine Like Terms
Step 3 - How many solutions
Step 4 - Why is there that many solutions?

Responces:
Because you can continue to solve for 1x=___ without th variable canceling.
Infinite solutions
No solution
One solution
Because the variable would cancel and you would be left with a true equality.
Becasue the variables will cancel, but you end up with an equality that is not true.
-5x + 15 = -6x - 5
-6x+15=-6x+15
-5x-x+15=-6x+15
-5x-x+15=-6x-5

1 answer

Here are the correct matches for each step in the process of solving the equation:

  1. Step 1 - Distributive Property

    • Response: −5x-x+15=-6x-5
  2. Step 2 - Combine Like Terms

    • Response: -6x+15=-6x+15
  3. Step 3 - How many solutions

    • Response: Infinite solutions
  4. Step 4 - Why is there that many solutions?

    • Response: Because the variable would cancel and you would be left with a true equality.

So to summarize, the correct matches are:

  • Step 1: −5x-x+15=-6x-5
  • Step 2: -6x+15=-6x+15
  • Step 3: Infinite solutions
  • Step 4: Because the variable would cancel and you would be left with a true equality.