Question

Solve each equation. Check your solution.

$\frac{1}{3}v=-5$

Short answer

The required solution is $v=-15$.

Step-by-step solution

Step 1. Write the given information. 

The given equation is:$\frac{1}{3}v=-5$

Step 2. Calculation.

$\begin{array}{l}\frac{1}{3}v=-5\\ \frac{1}{3}v\times 3=-5\times 3\text{[Multiplying3onbothssides]}\\ v=-15\end{array}$

Consider the given equation,

Step 3. Checking solution.

Substitute $v=-15$in the given equation, we get

$$\begin{gathered} \frac{1}{3}v=-5 \\ \frac{1}{3}\left(-15\right)=-5 \\ \frac{-15}{3}=-5 \\ -5=-5 \end{gathered}$$

Hence, proved.