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

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

  1. Combine the constants: \( -8 - 1 = -9 \).
  2. So, the equation becomes: \( \frac{5}{2}x - 9 = 9 \).

Now we isolate \( x \):

  1. Add 9 to both sides: \[ \frac{5}{2}x = 18 \]
  2. Multiply both sides by \( \frac{2}{5} \): \[ x = \frac{36}{5} \]

Now we can express our original equation as two separate statements:

  1. \( \frac{5}{2}x - 9 = 18 \)
  2. \( x = \frac{36}{5} \)

Thus, we rewrite the original equation as:

\[ \left( \frac{5}{2}x - 9 = 18 \right) \text{ and } \left( x = \frac{36}{5} \right) \]