Question

explain how to get the variable alone in the equation.
6x = 36

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. add \\(\square\\) to both sides.
c. divide both sides by \\(\square\\).
d. multiply both sides by \\(\square\\).

Explanation:

To isolate the variable \( x \) in the equation \( 6x = 36 \), we use the inverse operation of multiplication (since \( 6x \) means \( 6 \times x \)). The inverse of multiplication is division. So we divide both sides of the equation by 6.

Step 1: Identify the operation

The equation is \( 6x = 36 \). The variable \( x \) is multiplied by 6. To isolate \( x \), we need to perform the inverse operation, which is division.

Step 2: Perform the operation

Divide both sides of the equation \( 6x = 36 \) by 6:
\[
\frac{6x}{6} = \frac{36}{6}
\]
Simplifying both sides, we get \( x = 6 \). So the correct operation is to divide both sides by 6.

Answer:

C. Divide both sides by \( \boldsymbol{6} \)