Responses
1. x=−3
2. x=−7
3. x=7
4. x=3
which answer is it??
11 answers
To solve the equation \( \frac{3}{7}x - 4 = -1 \), we will first isolate \( x \).
Add 4 to both sides of the equation: \[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] \[ \frac{3}{7}x = 3 \]
Next, multiply both sides by \( \frac{7}{3} \) to solve for \( x \): \[ x = 3 \times \frac{7}{3} \] \[ x = 7 \]
So the solution is \( x = 7 \).
The correct response is: 3. \( x = 7 \)
Sure! Let's go through the steps again to ensure everything is correct.
We start with the equation:
\[ \frac{3}{7}x - 4 = -1 \]
Step 1: Add 4 to both sides:
\[ \frac{3}{7}x - 4 + 4 = -1 + 4 \] \[ \frac{3}{7}x = 3 \]
Step 2: Multiply both sides by \(\frac{7}{3}\):
To solve for \(x\), we multiply both sides by \(\frac{7}{3}\):
\[ x = 3 \times \frac{7}{3} \]
The 3s cancel out:
\[ x = 7 \]
The calculations confirm that \(x = 7\) is indeed correct.
So the answer is:
Everything is accurate!
To solve the equation \( 3 - 65x = -3 \), let's follow the steps:
Step 1: Subtract 3 from both sides:
\[ 3 - 65x - 3 = -3 - 3 \] \[ -65x = -6 \]
Step 2: Divide both sides by -65:
\[ x = \frac{-6}{-65} \] \[ x = \frac{6}{65} \]
Since \( \frac{6}{65} \) is not one of the given answer choices, let’s simplify our approach.
To be sure, let's rewrite the equation simply as:
Start with the original equation: \[ 3 - 65x = -3 \]
Isolate \( -65x \): \[ -65x = -3 - 3 \] \[ -65x = -6 \]
Divide by -65: \[ x = \frac{-6}{-65} \] \[ x = \frac{6}{65} \]
Since this answer \( x = \frac{6}{65} \) isn't one of the choices you've given, it means that the equation either had a solution that simplified differently or there's a potential mistake in options.
Given the answer choices provided:
None match. It seems like \( \frac{6}{65} \) is the valid solution, and none of your options is correct.
Would you like to check another problem or clarify anything?
You are correct to expect that the provided options should match the solution to the equation. Let's double-check the original equation and each step carefully, and also examine the options:
Given the equation: \[ 3 - 65x = -3 \]
Step 1: Subtract 3 from both sides: \[ 3 - 3 - 65x = -3 - 3 \] \[ -65x = -6 \]
Step 2: Divide both sides by -65: \[ x = \frac{-6}{-65} = \frac{6}{65} \]
Now, \( \frac{6}{65} \) does not appear in the options you provided. Let's consider what might have gone wrong.
To ensure there's no error elsewhere, I will double-check the problem and options:
Now, let's re-examine the options given:
None of these options \( -5, 0, 5, 6 \) match the actual solution \( \frac{6}{65} \).
If there's any more context or additional problems you want to solve, please let me know!
Of course! I'll avoid using the special formatting and just use plain text.
Let's solve the equation step-by-step again without any special symbols.
The equation is: 3 - 65x = -3
Step 1: Subtract 3 from both sides.
This gives: -65x = -3 - 3 -65x = -6
Step 2: Divide both sides by -65.
This gives: x = -6 / -65 x = 6 / 65
So, the solution is x = 6/65.
Now let's compare this with the options you provided:
None of these match the solution we found (6/65, which is approximately 0.092).
It seems that there may be a mistake in the options you've been given because the solution we found does not fit any of them. If you'd like to check a different problem or discuss this one further, let me know!
Let’s go through the problem step by step once again, carefully checking each calculation to ensure accuracy.
The equation we need to solve is:
3 - 65x = -3
Step 1: Subtract 3 from both sides.
So we have: -65x = -3 - 3 -65x = -6
Step 2: Divide both sides by -65.
So we get: x = -6 / -65 x = 6 / 65
Now, let's convert 6/65 into a decimal to get a clearer idea of the value: 6 divided by 65 is approximately 0.0923.
Summary of the steps:
Thus, it appears that the answer choices do not correspond to the solution obtained from the equation as given.
If there's any other equation or problem you'd like to work on, please let me know!
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