Rewrite the equation $\frac {5}{b}=10$ as two equations joined by "and."

Question

$\frac {5}{b}=10$ and $b\neq $ $\square $

Answer 1

To rewrite the equation \(\frac{5}{b} = 10\) as two equations joined by "and," we first solve for \(b\).

Starting with the equation: \[ \frac{5}{b} = 10 \]

We can multiply both sides by \(b\) (noting that \(b \neq 0\)): \[ 5 = 10b \]

Next, we divide both sides by 10: \[ b = \frac{5}{10} = \frac{1}{2} \]

Now we have:

1. \(b = \frac{1}{2}\)
2. \(b \neq 0\) (since we cannot divide by zero in the original equation)

Thus, we can rewrite the equation as: \[ b = \frac{1}{2} \quad \text{and} \quad b \neq 0 \]

Inserting the value into the blank, we get: \[ \frac{5}{b} = 10 \quad \text{and} \quad b \neq 0 \]

So, the final answer is: \[ \frac{5}{b} = 10 \quad \text{and} \quad b \neq 0 \]