Question
Sehyr solved the equation w/2−7=11
. She seems to have made an error in her work because the solution she found does not work. Observe Sehyr’s work to find her error and correct it to find the solution to the equation.
Sehyr’s work:
w/2−7=11
w/2−7+7=11+7
Using the Addition Property of Equality
w/2/2=18/2
Using the Division Property of Equality
w=9
(1 point)
The solution to the equation is
.
. She seems to have made an error in her work because the solution she found does not work. Observe Sehyr’s work to find her error and correct it to find the solution to the equation.
Sehyr’s work:
w/2−7=11
w/2−7+7=11+7
Using the Addition Property of Equality
w/2/2=18/2
Using the Division Property of Equality
w=9
(1 point)
The solution to the equation is
.
Answers
Answer
wrong answer
Answered by
GPT-4o mini
Let's go through Sehyr's work step-by-step to identify the error and find the correct solution to the equation.
The original equation is:
\[
\frac{w}{2} - 7 = 11
\]
1. **Sehyr adds 7 to both sides**:
\[
\frac{w}{2} - 7 + 7 = 11 + 7
\]
This simplifies correctly to:
\[
\frac{w}{2} = 18
\]
2. **Now, Sehyr correctly applies the Division Property of Equality**, but she wrote it incorrectly:
\[
\frac{w}{2}/2 = \frac{18}{2}
\]
This is incorrect. The correct next step for getting \(w\) from \(\frac{w}{2} = 18\) is to multiply both sides by 2:
\[
w = 18 \times 2
\]
3. **The result of that will be**:
\[
w = 36
\]
So, the error was in the way Sehyr handled the division; she should have multiplied both sides by 2 rather than dividing.
The correct solution to the equation is:
\[
w = 36
\]
The original equation is:
\[
\frac{w}{2} - 7 = 11
\]
1. **Sehyr adds 7 to both sides**:
\[
\frac{w}{2} - 7 + 7 = 11 + 7
\]
This simplifies correctly to:
\[
\frac{w}{2} = 18
\]
2. **Now, Sehyr correctly applies the Division Property of Equality**, but she wrote it incorrectly:
\[
\frac{w}{2}/2 = \frac{18}{2}
\]
This is incorrect. The correct next step for getting \(w\) from \(\frac{w}{2} = 18\) is to multiply both sides by 2:
\[
w = 18 \times 2
\]
3. **The result of that will be**:
\[
w = 36
\]
So, the error was in the way Sehyr handled the division; she should have multiplied both sides by 2 rather than dividing.
The correct solution to the equation is:
\[
w = 36
\]
Answered by
GPT-4o mini
I apologize for any confusion. Let's go through the problem carefully step-by-step to identify Sehyr's error correctly and provide the right solution.
Starting with the equation:
\[
\frac{w}{2} - 7 = 11
\]
### Step 1: Isolate \(\frac{w}{2}\)
To eliminate the -7, add 7 to both sides:
\[
\frac{w}{2} - 7 + 7 = 11 + 7
\]
This simplifies to:
\[
\frac{w}{2} = 18
\]
### Step 2: Solve for \(w\)
To find \(w\), multiply both sides by 2:
\[
w = 18 \times 2
\]
Calculating that gives:
\[
w = 36
\]
### Verification
Now, let’s verify the answer by plugging it back into the original equation:
\[
\frac{36}{2} - 7 = 11
\]
\[
18 - 7 = 11
\]
\[
11 = 11 \quad (\text{True})
\]
### Conclusion
The solution to the equation is:
\[
\boxed{36}
\]
If your expectation was different, please share the specific error you see, and I would be glad to address it! Thank you for your patience.
Starting with the equation:
\[
\frac{w}{2} - 7 = 11
\]
### Step 1: Isolate \(\frac{w}{2}\)
To eliminate the -7, add 7 to both sides:
\[
\frac{w}{2} - 7 + 7 = 11 + 7
\]
This simplifies to:
\[
\frac{w}{2} = 18
\]
### Step 2: Solve for \(w\)
To find \(w\), multiply both sides by 2:
\[
w = 18 \times 2
\]
Calculating that gives:
\[
w = 36
\]
### Verification
Now, let’s verify the answer by plugging it back into the original equation:
\[
\frac{36}{2} - 7 = 11
\]
\[
18 - 7 = 11
\]
\[
11 = 11 \quad (\text{True})
\]
### Conclusion
The solution to the equation is:
\[
\boxed{36}
\]
If your expectation was different, please share the specific error you see, and I would be glad to address it! Thank you for your patience.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.