Chapter 1: Q10 (page 10)

Find the value of the variable.
$\frac{1}{3} a = 2$

Short Answer

Expert verified

The value of the variable is $a = 2$ .

Step by step solution

Step 1. Multiply by 3.

To find the value of variable a in the equation $\frac{1}{3} a = 2$ , multiply both sides of the equation by 3.

$\frac{1}{3} a \times (3) = 2 \times (3)$

Step 2. Simplify the equation.

To further simplify, cancel the common factors of 3 on the left-hand side.

$\begin{array}{l} \frac{3 a}{3} = 2 \times 3 \\ a = 6 \end{array}$

Step 3. Verify the value.

In order to verify the value of a substitute 6 for a into the equation $\frac{1}{3} a = 2$ .

$\begin{array}{l} \frac{1}{3} \times 6 = 2 \\ 2 = 2 True \end{array}$

Hence, the value of the variable is $a = 6$ .

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Find the value of the variable.
$\frac{1}{3} a = 2$

Short Answer

Step by step solution

Step 1. Multiply by 3.

Step 2. Simplify the equation.

Step 3. Verify the value.

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Short Answer

Step by step solution

Step 1. Multiply by 3.

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Find the value of the variable.
$\frac{1}{3} a = 2$