Q12 - Geometry

Question

Find the value of the variable.

$\frac{4}{5}a=-20$

Step-by-Step Solution

Answer

The value of the variable is $a=-25$.

Step 1. Multiply by 5 4 .

To find the value of variable a in the equation $\frac{4}{5}a=-20$, multiply both sides of the equation by $\frac{5}{4}$.

$\left(\frac{5}{4}\right)\times \frac{4}{5}a=\left(\frac{5}{4}\right)\times \left(-20\right)$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 4 and 5 on both sides.

$\begin{array}{l}a=-\left(\frac{5}{4}\right)\times \left(4\times 5\right)\\ =-25\end{array}$

Step 3. Verify the value.

In order to verify the value of a, substitute -25 for into the equation $\frac{4}{5}a=-20$.

$\begin{array}{l}\frac{4}{5}\times \left(-25\right)=-20\\ -20=-20\text{ True}\end{array}$

Hence, the value of the variable is $a=-25$.