To rewrite the equation \( \frac{5}{2}x - 8 - 1 = 9 \) as two equations joined by "and," we first simplify the left side:
- Combine the constants: \( -8 - 1 = -9 \).
- So, the equation becomes: \( \frac{5}{2}x - 9 = 9 \).
Now we isolate \( x \):
- Add 9 to both sides: \[ \frac{5}{2}x = 18 \]
- Multiply both sides by \( \frac{2}{5} \): \[ x = \frac{36}{5} \]
Now we can express our original equation as two separate statements:
- \( \frac{5}{2}x - 9 = 18 \)
- \( x = \frac{36}{5} \)
Thus, we rewrite the original equation as:
\[ \left( \frac{5}{2}x - 9 = 18 \right) \text{ and } \left( x = \frac{36}{5} \right) \]