Question

explain how to get the variable alone in the following equation.
b ÷ 10 = 5
select the correct choice below and fill in the answer box within your choice.
(type a whole number.)
a. subtract \\(\square\\) from both sides.
b. divide both sides by \\(\square\\).
c. add \\(\square\\) to both sides.
d. multiply both sides by \\(\square\\).

Explanation:

To isolate the variable \( b \) in the equation \( b \div 10 = 5 \), we need to perform the inverse operation of division. The inverse of dividing by 10 is multiplying by 10.

Step 1: Identify the operation

The equation is \( \frac{b}{10} = 5 \) (since \( b \div 10 \) is the same as \( \frac{b}{10} \)). To solve for \( b \), we multiply both sides of the equation by 10.

Step 2: Apply the operation

Multiply both sides by 10:
\[
\frac{b}{10} \times 10 = 5 \times 10
\]
This simplifies to:
\[
b = 50
\]
So the correct choice is to multiply both sides by 10.

Answer:

D. Multiply both sides by \( 10 \)