Q38 - Algebra 1

Question

Solve each equation. Check your solution.

$\frac{3}{5}q=-15$

Step-by-Step Solution

Answer

The required solution is $q=-25$.

Step 1. Write the given information.

The given equation is: $\frac{3}{5}q=-15$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} \frac{3}{5}q=-15 \\ 3q=-15\times 5 \\ 3q=-75 \\ q=\frac{-75}{3} \\ q=-25 \end{gathered}$$

Step 3. Checking solution.

Substitute $q=-25$ in the given equation, we get

$$\begin{gathered} \frac{3}{5}q=-15 \\ \frac{3}{5}\times \left(-25\right)=-15 \\ 3\times -5=-15 \\ -15=-15 \end{gathered}$$

Hence, proved.