Question

Rewrite the equation 5/2x-8 - 1 = 9 as two equations joined by "and".

Answer 1

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:
1. \( \frac{5}{2}x - 9 = 0 \)
2. \( 0 = 9 \)

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.