Question

explain how to get the variable alone in the following equation.
a ÷ 14 = 4

select the correct choice below and fill in the answer box within your choice. (type a whole number.)
○ a. subtract from both sides.
○ b. divide both sides by .
○ c. multiply both sides by .
○ d. add to both sides.

Explanation:

To isolate the variable \( a \) in the equation \( a \div 14 = 4 \), we need to use the inverse operation of division. The variable \( a \) is being divided by 14, so to undo this division, we should multiply both sides of the equation by 14. This is because multiplication is the inverse operation of division.

Step 1: Identify the operation on the variable

The equation is \( a \div 14 = 4 \), which can also be written as \( \frac{a}{14} = 4 \). Here, \( a \) is divided by 14.

Step 2: Determine the inverse operation

To isolate \( a \), we need to perform the inverse operation of division. The inverse of division is multiplication. So, we multiply both sides of the equation by 14.

Applying this to the equation:
\[
\frac{a}{14} \times 14 = 4 \times 14
\]
Simplifying both sides:
\[
a = 56
\]

So, the correct choice is C, and we multiply both sides by 14.

Answer:

C. Multiply both sides by 14.