Chapter 1: Q12 (page 10)

Find the value of the variable.
$\frac{4}{5} a = - 20$

Short Answer

Expert verified

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

Step by step solution

Step 1. Multiply by 54.

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

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

Step 2. Simplify the equation.

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

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

Step 3. Verify the value.

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

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

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

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Find the value of the variable.
$\frac{4}{5} a = - 20$

Short Answer

Step by step solution

Step 1. Multiply by 54.

Step 2. Simplify the equation.

Step 3. Verify the value.

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Short Answer

Step by step solution

Step 1. Multiply by 54.

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Find the value of the variable.
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