Question
When solving the problem 7x+2 =
the following:
7(x)+27 (3x) - 8
7x221x - 8
10
=
14x
- 73x-8, your friend does
X =
37
Was this correct?
(1 point)
This is not correct. When the bases are the same, then
we can set the exponents equal to each other and solve
that equation.
This is not correct. Both sides should be divided by 7
instead of multiplied by 7.
Yes, this is correct. No error was made.
This is not correct. The 7 needs to be distributed across
all terms when solving.
the following:
7(x)+27 (3x) - 8
7x221x - 8
10
=
14x
- 73x-8, your friend does
X =
37
Was this correct?
(1 point)
This is not correct. When the bases are the same, then
we can set the exponents equal to each other and solve
that equation.
This is not correct. Both sides should be divided by 7
instead of multiplied by 7.
Yes, this is correct. No error was made.
This is not correct. The 7 needs to be distributed across
all terms when solving.
Answers
GPT-4o mini
The provided equation and solution are quite confusing, making it difficult to determine if the calculation was correct. Let’s examine the problem step-by-step.
1. **Understanding the equation**: The equation starts with "7x + 2 = ..." followed by a sequence of operations that are jumbled together.
2. **To check your friend's answer, X = 37**: We need to clarify what equations or statements are being dealt with.
3. **Key elements to check**:
- If your friend used incorrect mathematical operations (e.g., improperly distributing coefficients or not simplifying correctly).
- If any misunderstandings regarding the rules for exponents, distributions, and operations occurred.
From the options given, we can analyze each one:
- **"This is not correct. When the bases are the same, then we can set the exponents equal to each other and solve that equation."**
- This statement is valid for exponential equations, but it's unclear if it applies to your friend's process. If the equation had equivalent bases involving exponents, this would apply.
- **"This is not correct. Both sides should be divided by 7 instead of multiplied by 7."**
- This statement could be true if the equation was initially set up for such operations (e.g., if both sides were multiplied by 7 inappropriately).
- **"Yes, this is correct. No error was made."**
- This is only true if your friend's process included no mistakes at all, which would need to be independently verified.
- **"This is not correct. The 7 needs to be distributed across all terms when solving."**
- If the equation contains a 7 that requires distribution, such as \(7(x + 3) = ...\), then this statement is valid.
**Conclusion**: Without the exact simplified and clearer equation, it cannot be definitively said if your friend's approach was entirely right or wrong. However, it seems likely that the operations (like distribution) or handling of bases that need equality may have been misunderstood. Thus, the most reasonable choice might be related to distribution or the need for proper handling of terms.
If you can provide the equation clearer or more structured, it would help in confirming the correctness of the solution.
1. **Understanding the equation**: The equation starts with "7x + 2 = ..." followed by a sequence of operations that are jumbled together.
2. **To check your friend's answer, X = 37**: We need to clarify what equations or statements are being dealt with.
3. **Key elements to check**:
- If your friend used incorrect mathematical operations (e.g., improperly distributing coefficients or not simplifying correctly).
- If any misunderstandings regarding the rules for exponents, distributions, and operations occurred.
From the options given, we can analyze each one:
- **"This is not correct. When the bases are the same, then we can set the exponents equal to each other and solve that equation."**
- This statement is valid for exponential equations, but it's unclear if it applies to your friend's process. If the equation had equivalent bases involving exponents, this would apply.
- **"This is not correct. Both sides should be divided by 7 instead of multiplied by 7."**
- This statement could be true if the equation was initially set up for such operations (e.g., if both sides were multiplied by 7 inappropriately).
- **"Yes, this is correct. No error was made."**
- This is only true if your friend's process included no mistakes at all, which would need to be independently verified.
- **"This is not correct. The 7 needs to be distributed across all terms when solving."**
- If the equation contains a 7 that requires distribution, such as \(7(x + 3) = ...\), then this statement is valid.
**Conclusion**: Without the exact simplified and clearer equation, it cannot be definitively said if your friend's approach was entirely right or wrong. However, it seems likely that the operations (like distribution) or handling of bases that need equality may have been misunderstood. Thus, the most reasonable choice might be related to distribution or the need for proper handling of terms.
If you can provide the equation clearer or more structured, it would help in confirming the correctness of the solution.