To rewrite the equation \( \frac{5}{b} = 10 \) as two equations joined by "and," we can isolate \( b \) and write the conditions based on the original equation.
Starting from \( \frac{5}{b} = 10 \):
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First equation: Multiply both sides by \( b \) (assuming \( b \neq 0 \)): \[ 5 = 10b \] So, the first equation is: \[ 5 = 10b \]
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Second equation: Since we divided by \( b \), we need to specify that \( b \neq 0 \): \[ b \neq 0 \]
Now we can join these two equations with "and": \[ 5 = 10b \text{ and } b \neq 0 \]
So the final rewritten form is: \[ 5 = 10b \text{ and } b \neq 0 \]