9 answers
To solve the equation \( \frac{N + 4}{-2} = -9 \), follow these steps:
Multiply both sides by -2 to eliminate the fraction:
\[ N + 4 = -9 \cdot -2 \]
This simplifies to:
\[ N + 4 = 18 \]
Subtract 4 from both sides to isolate \( N \):
\[ N = 18 - 4 \]
This gives:
\[ N = 14 \]
So, the solution is \( N = 14 \).
Let's solve the equation again step by step to ensure accuracy.
The original equation is:
\[ \frac{N + 4}{-2} = -9 \]
\[ N + 4 = (-9)(-2) \]
Calculating the right-hand side:
\[ N + 4 = 18 \]
\[ N = 18 - 4 \]
\[ N = 14 \]
The solution to the equation is indeed \( N = 14 \).
To address your question about \( N = -7 \): if you received that value from a different equation or context, please let me know so I can help clarify the situation further!
Let's clarify the misunderstanding and solve the equation step by step correctly.
The expression you provided seems to be formatted in a way that could lead to confusion, particularly with the placement of the division. The equation is:
\[ \frac{N + 4}{-2} = -9 \]
Following the correct steps:
Multiply both sides by -2: \[ N + 4 = -9 \times -2 \] \[ N + 4 = 18 \]
Subtract 4 from both sides: \[ N = 18 - 4 \] \[ N = 14 \]
Now, according to the steps you mentioned, it looks like the misunderstanding arose from a different interpretation of the problem, possibly viewing the division as involving only \( 4 \) rather than the entire \( N + 4 \).
If we followed your steps with rearranging \( N + \frac{4}{-2} = -9 \): This interpretation would lead to:
Rearranging: \[ N - 2 = -9 \]
Solving for \( N \): \[ N = -9 + 2 \] \[ N = -7 \]
This is indeed where the discrepancy comes from. If the original equation is interpreted as:
\[ N + \frac{4}{-2} = -9 \]
instead of
\[ \frac{N + 4}{-2} = -9 \]
then your calculation leading to \( N = -7 \) would be correct for that specific scenario.
To summarize, if the equation was meant to be \(\frac{N + 4}{-2} = -9\), then \(N = 14\) is correct. If it was meant to be \(N + \frac{4}{-2} = -9\), then \(N = -7\) is accurate. Be sure to clarify the structure next time to avoid these types of miscommunications!
Thank you for clarifying! If the equation is indeed written as
\[ \frac{N + 4}{-2} = -9, \]
then we can proceed as follows to solve for \(N\):
Multiply both sides by -2 to eliminate the fraction:
\[ N + 4 = -9 \times -2 \]
This simplifies to:
\[ N + 4 = 18. \]
Now, subtract 4 from both sides to isolate \(N\):
\[ N = 18 - 4 \]
Thus,
\[ N = 14. \]
So, if the equation is \(\frac{N + 4}{-2} = -9\), the correct solution is indeed \(N = 14\).
If, however, you were interpreting it differently or if there were additional parentheses leading to a different order of operations, let me know. Otherwise, based on this equation as stated, the answer is \(N = 14\).
You're welcome! If you have any more questions or need further clarification on anything else, feel free to ask. Happy studying!
