Question

What should be done to both sides of the equation in order to solve x = 4?Divide by 4.Multiply by 4.Divide by 1/3.Multiply by 1/3.

Answer 1

Given:

There are given that the equation:

$\frac{1}{3}x=4$

Explanation:

According to the question:

We need to find the value that orders to solve both sides of the equationn.

So,

From the equation:

$\frac{1}{3}x=4$

Then,

For the equation, divide by 1/3 on both sides of the equation:

So,

From the properties:

If,

$\frac{a}{\frac{b}{\frac{c}{d}}}=\frac{a}{b}\times\frac{d}{c}$

$\begin{gathered} \frac{1}{3}x=4 \\ \frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{4}{\frac{1}{3}} \\ \frac{\frac{1}{3}x}{\frac{1}{3}}=4\times3 \\ \frac{1}{3}x\times3=12 \\ x=12 \end{gathered}$

Final answer:

Hence, the correct option is C.