To rewrite the equation \( \frac{5}{b} = 10 \) as two equations joined by "and," we first solve for \( b \):
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Start with the original equation: \[ \frac{5}{b} = 10 \]
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Multiply both sides by \( b \) (assuming \( b \neq 0 \)): \[ 5 = 10b \]
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Divide both sides by 10: \[ b = \frac{5}{10} = \frac{1}{2} \]
Now, we can express it as two equations:
\[ b = \frac{1}{2} \quad \text{and} \quad b \neq 0 \]
So, the final rewritten form is:
\[ b = \frac{1}{2} \quad \text{and} \quad b \neq 0 \]