Question

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

Answer 1

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:

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