Question

Use the Commutative Property to determine the missing step in proving the equivalence of 7a + 5+2a=9a+5



(1 point)
Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area 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: Press enter key to drop response here.Response input area

Step 2: 9a+5=9a+5

Step 3: The expressions are equivalent because they both equal the same value.

Answer 1

To complete the proof using the Commutative Property, we need to correctly use the property to rearrange the terms on the left side of the equation.

Here’s a suitable missing step:

**Step 1:** 7a + 2a + 5 = 9a + 5

The full proof would then look like this:

1. 7a + 5 + 2a = 9a + 5 (original expression)
2. 7a + 2a + 5 = 9a + 5 (using the Commutative Property to group 7a and 2a)
3. 9a + 5 = 9a + 5 (both sides are now identical)
4. The expressions are equivalent because they both equal the same value.

You would input "7a + 2a + 5 = 9a + 5" in Step 1.