Q26. - Algebra 1

Question

Solve each equation. Check your solution.

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

Step-by-Step Solution

Answer

The required solution is $v=-15$.

Step 1. Write the given information.

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

Step 2. Calculation.

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

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.