Question

In order to figure out how much money she needs for her trip to the store, Jessica has to solve this equation. ​ 2(x+1)+1=5 ​​She completes the problem as seen in the steps below. ​ ​ 2(x+1)+1=5 ​Step 1: 2(x+1) = 4 ​Step 2: (x+1) = 2 ​Step 3: x = 3 ​This can't be right! She checks her solution and realizes the answer is x = 1. In which step did Jessica make an error? A Step 1. B Step 2. C Step 3. D All the steps are correct.

Answer 1

D. all the steps are incorrect

Explanation:

she needs to distribute the 2 into the parenthesis first due to PEMDAS

2x+2+1= 5

2x+3=5 then isolate the x

-3 -3

2x=2

(2x)/2=2/2

x=1

Answer 2

C. Step 3.

Explanation:

The equation that Jessica wants to solve is

`2(x+1)+1=5`.

The steps of Jessica's solution are.

Step 1:
`2(x+1)=4`

Step 2:
`(x+1)=2`

Step 3:
`x=3`

Now, if you observe Jessica's steps, you would find that steps 1 and 2 are correct, but step 3 is wrong, because the number 1 must past to the other side as a negative number, as follows

`x+1=2\\x=2-1`

Then, Jessica must subtract the numbers

`x=2-1\\x=1`

That's why she was wrong. Her step 3 was incorrect.

Therefore, the right asnwer here is C. Step 3.