Question

What is the solution of the equation 25x+4=15
2
5
𝑥
+
4
=
1
5
?(1 point)
Responses

−219
−
2
19
negative Start Fraction 2 over 19 End Fraction

212
21
2
Start Fraction 21 over 2 End Fraction

−3825
−
38
25
negative Start Fraction 38 over 25 End Fraction

−192
−
19
2
negative Start Fraction 19 over 2 End Fraction

Answer 1

qwrong

Answer 2

To solve the equation \( 25x + 4 = \frac{15}{2} \), we will first isolate \( x \).

1. Subtract 4 from both sides:

\[
25x = \frac{15}{2} - 4
\]

2. To subtract 4, we need to convert it into a fraction with a denominator of 2:

\[
4 = \frac{8}{2}
\]

So,

\[
25x = \frac{15}{2} - \frac{8}{2} = \frac{15 - 8}{2} = \frac{7}{2}
\]

3. Now, divide both sides by 25:

\[
x = \frac{\frac{7}{2}}{25}
\]

4. This is the same as:

\[
x = \frac{7}{2} \cdot \frac{1}{25} = \frac{7}{50}
\]

However, we'll consider the equation you provided has a possible mistake, it might have been intended as:

\[
25x + 4 = 15 \quad \text{(instead of } \frac{15}{2}\text{)}
\]

If solving \( 25x + 4 = 15 \):

1. Subtract 4 from both sides:

\[
25x = 15 - 4
\]

2. Simplify:

\[
25x = 11
\]

3. Divide both sides by 25:

\[
x = \frac{11}{25}
\]

However, none of these solutions match your responses.

It seems like there might be confusion with the structure of the equation. If you could clarify or ensure you're providing the exact equation you need solving, that would be helpful!

Answer 3

I apologize for the confusion in my previous message. Let's carefully solve the equation you provided:

### Given:
\[
25x + 4 = 15
\]

### Steps to Solve:

1. **Subtract 4 from both sides**:
\[
25x = 15 - 4
\]
\[
25x = 11
\]

2. **Divide both sides by 25**:
\[
x = \frac{11}{25}
\]

It appears that the given quadratic equation might have been interpreted incorrectly. Based on your multiple-choice options, none of them matches \( \frac{11}{25} \).

Let's check the second possibility you mentioned:
**If you meant**:
\[
25x + 4 = \frac{15}{2}
\]

**Then I already solved it earlier and found**:
\[
x = \frac{7}{50}
\]

### Reanalysis of statement:
Let’s analyze more:

If you meant:
\[
25x + 4 = 15
\]
By directly checking:
1. Subtracting:
\[
25x = 11
\]
Thus:
\[
x = \frac{11}{25}
\]
is still valid unless we received misdirection.

### Final Options Recheck
1. \(-\frac{2}{19}\)
2. \(\frac{21}{2}\)
3. \(-\frac{38}{25}\)
4. \(-\frac{19}{2}\)

Using the checks:
- \(-\frac{38}{25}\) would indicate a misunderstanding.

If there are other directions for clarifications or accuracy to take on interpretations, please let me know!