To rewrite the equation \( \frac{5}{2x - 8} - 1 = 9 \) as two equations joined by "and," we need to isolate the fraction on one side and also mention the restrictions on \( x \) that arise from the denominator.
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Start with the original equation: \[ \frac{5}{2x - 8} - 1 = 9 \]
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Isolate the fraction by adding 1 to both sides: \[ \frac{5}{2x - 8} = 10 \]
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Now, the equation can be rewritten as: \[ \frac{5}{2x - 8} = 10 \quad \text{and} \quad 2x - 8 \neq 0 \] The second part means that \( 2x - 8 \) cannot be zero, which simplifies to: \[ x \neq 4 \]
So, the final rewritten statement is: \[ \frac{5}{2x - 8} = 10 \quad \text{and} \quad x \neq 4 \]
From the options you provided, the correct answer is: \[ 5/(2x - 8) = 9 \quad \text{and} \quad x \neq 4 \] (but with \( 10 \) instead of \( 9 \)).