To rewrite the equation \( \frac{5}{2}x - 8 - 1 = 9 \) as two equations joined by "and," we can first simplify the equation.
Starting with:
\[ \frac{5}{2}x - 8 - 1 = 9 \]
We simplify it to:
\[ \frac{5}{2}x - 9 = 9 \]
Next, we can isolate \( \frac{5}{2}x \):
\[ \frac{5}{2}x = 9 + 9 \]
This leads to:
\[ \frac{5}{2}x = 18 \]
From here, we can express the solution. Multiplying both sides by \( \frac{2}{5} \) gives:
\[ x = \frac{18 \cdot 2}{5} = \frac{36}{5} \]
Now, our rewritten equation becomes:
\[ \frac{5}{2}x - 9 = 9 \quad \text{and} \quad x \neq -4 \]
However, among the provided responses, the correct reformulation of the original equation can accurately appear in the form of:
\[ \frac{5}{2}x - 8 - 1 = 9 \quad \text{and} \quad x \neq -4 \]
Thus, the best response from your options is:
52x−8−1=9 and x≠−4
(Start Fraction 5 over 2 x minus 8 End Fraction minus 1 equals 9 and x does not equal negative 4)