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

Question

Responses

5/2x−8=9 and x≠−8
Start Fraction 5 over 2 x minus 8 End Fraction equals 9 and x does not equal negative 8

5/2x−8−1=9 and x≠4
Start Fraction 5 over 2 x minus 8 End Fraction minus 1 equals 9 and x does not equal 4

5/2x−8−1=9 and x≠8
Start Fraction 5 over 2 x minus 8 End Fraction minus 1 equals 9 and x does not equal 8

5/2x−8−1=9 and x≠−4
Start Fraction 5 over 2 x minus 8 End Fraction minus 1 equals 9 and x does not equal negative 4

Answer 1

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

1. Combine like terms: \( \frac{5}{2}x - 9 = 9 \)
2. This gives you the equation: \( \frac{5}{2}x - 9 = 9 \).

Now, set this equation equal to 9:

So, the rewritten form is:

\[ \frac{5}{2}x - 9 = 9 \quad \text{and} \quad x \text{ not equal to any specific value.} \]

However, none of the provided answer responses correctly matches this format. The first equation is left as is, but the second part suggests an additional condition about \( x \).

After reviewing the options, the correct response can be inferred as follows:

Final Correct Response: \( \frac{5}{2}x - 9 = 9 \quad \text{and} \quad x \neq 4 \)

Thus, the closest match is: 5/2x−8−1=9 and x≠4