Chapter 1: Q11 (page 10)

Find the value of the variable.
$\frac{3}{4} a = 9$

Short Answer

Expert verified

The value of the variable is $a = 12$ .

Step by step solution

Step 1. Multiply by 43.

To find the value of the variable a in the equation $\frac{3}{4} a = 9$ , multiply both sides of the equation by $\frac{4}{3}$ .

$(\frac{4}{3}) \times \frac{3}{4} a = (\frac{4}{3}) \times 9$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 3 and 4 on both sides.

$\begin{array}{l} a = 4 \times 3 \\ = 12 \end{array}$

Step 3. Verify the value.

In order to verify the value of a, substitute 12 for a into the equation $\frac{3}{4} a = 9$ .

$\begin{array}{l} \frac{3}{4} \times 12 = 9 \\ 9 = 9 True \end{array}$

Hence, the value of the variable is $a = 12$ .

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Find the value of the variable.
$\frac{3}{4} a = 9$

Short Answer

Step by step solution

Step 1. Multiply by 43.

Step 2. Simplify the equation.

Step 3. Verify the value.

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