Rewrite the equation 52x−8−1=9 as two equations joined by “and.”(1 point)

Question

Responses

52x−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

52x−8=9 and x≠−8
Start Fraction 5 over 2 x minus 8 End Fraction equals 9 and x does not equal negative 8

52x−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

52x−8−1=9 and x≠−4

Answer 1

To rephrase the equation \( 52x - 8 - 1 = 9 \) as two equations connected by "and," we can first simplify the original equation.

1. Combine constants: \[ 52x - 9 = 9 \]

2. Now combine both sides to isolate \( x \): \[ 52x = 18 \] \[ x = \frac{18}{52} = \frac{9}{26} \]

So, the equation can be expressed as:

\[ 52x - 8 - 1 = 9 \text{ and } x \neq \frac{9}{26} \]

Thus, the correct rewrite is:

\[ 52x - 8 - 1 = 9 \text{ and } x \neq \frac{9}{26} \]

However, your responses don't seem to include the answer derived based on the simplification. Therefore, none of the provided options are correct based on the derivation above. If the intention was to derive restrictions on \( x \), you could specify conditions based on the original form of the equation before simplification, if applicable.