Rewrite the equation 5/2x−8−1=9 as two equations joined by “and.”(1 point)

To rewrite the equation \( \frac{5}{2}x - 8 - 1 = 9 \) as two equations joined by “and,” we first simplify the equation:

1. Combine the constants:
\[ \frac{5}{2}x - 9 = 9 \]

2. Move the constant to the right side:
\[ \frac{5}{2}x = 18 \]

Now, we can rewrite the equation \( \frac{5}{2}x - 9 = 9 \) and isolate \( x \) as follows:
\[ x = \frac{18 \times 2}{5} \]
\[ x = \frac{36}{5} \]

Since we want to join this equation with a condition (like \( x \neq \) a certain value), we note that there is no exclusion at this stage from the original problem concerning \( x \). None of the options provided seem perfectly valid to this specific case without criteria given for \( x \).

However, looking at the options provided, please let me know which specific criteria regarding \( x \) should be considered for exclusion (for instance, based on the original context of the problem), or you can go with the linear exclusion based on simplifying the original equation.

Given the options:
- The first option \( 5/2x−8−1=9 \) and \( x≠8 \)
- The second option \( 5/2x−8=9 \) and \( x≠−8 \)
- The third option \( 5/2x−8−1=9 \) and \( x≠−4 \)
- The fourth option \( 5/2x−8−1=9 \) and \( x≠4 \)

The closest valid rephrasing based on our work would likely be \( \frac{5}{2}x - 9 = 9 \) and determine \( x \). Based on that, the most appropriate extraction for \( x \) even if it does not match exactly would be:

**So a rewrite would be:**
\( \frac{5}{2}x - 9 = 9 \) and since it is not defined, numerically derived values \( x \neq \) any constants captured earlier without touching invalid options or constants.

**Final suggestion:**
Consider extracting a possible like form, e.g., "but check if against variations regarding the forms." Use an alternative path if numerical exclusions are not provided or parameterized.