To rewrite the equation \( \frac{5}{2}x - 8 - 1 = 9 \) as two equations joined by "and", we first simplify the original equation.
Starting with: \[ \frac{5}{2}x - 8 - 1 = 9 \]
We combine like terms: \[ \frac{5}{2}x - 9 = 9 \]
Now, we can separate this into two equations:
- \( \frac{5}{2}x - 9 = 0 \)
- \( 0 = 9 \)
Thus, we can express it as: \[ \frac{5}{2}x - 9 = 0 \quad \text{and} \quad 0 = 9 \]
However, the second equation \( 0 = 9 \) is not valid. Instead, we can rewrite this as:
\[ \frac{5}{2}x - 9 = 0 \quad \text{and} \quad \frac{5}{2}x = 18 \]
This means we have: \[ \frac{5}{2}x - 9 = 0 \quad \text{and} \quad \frac{5}{2}x - 18 = 0 \] which could also be communicated as:
\[ \frac{5}{2}x - 9 = 0 \quad \text{and} \quad x = \frac{36}{5} \]
Please confirm or clarify if further modifications are needed.
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