Q20 - Geometry

Question

Find the value of the variable.

$-9=\frac{e}{3}$

Step-by-Step Solution

Answer

The value of the variable is $\mathit{e}\mathbf{=}\mathbf{-}\mathbf{27}$.

Step 1. Multiply by 3.

To find the value of the variable e in the equation $-9=\frac{e}{3}$, multiply both sides of the equation by 3.

$-9\times 3=\frac{e}{3}\times 3$

Step 2. Simplify the equation.

To further simplify, cancel the common factor of 3 on the right-hand side of the equation.

$\begin{array}{l}-9\times 3=\frac{e}{\cancel{3}}\times \cancel{3}\\ -27=e\end{array}$

Step 3. Verify the value.

In order to verify the value of e, substitute $-27$ for into the equation $-9=\frac{e}{3}$.

$\begin{array}{l}-9=\frac{-27}{3}\\ -9=-9\text{ True}\end{array}$

Hence, the value of the variable is $e=-27$.