Chapter 2: Q2 (page 41)

Justify each step.
$\begin{matrix} \frac{3 a}{2} = \frac{6}{5} \\ 3 a = \frac{12}{5} \\ a = \frac{4}{5} \end{matrix}$

Short Answer

Expert verified

$\frac{3 a}{2} = \frac{6}{5}$ Given

$3 a = \frac{12}{5}$ Multiplication property of equality

$a = \frac{4}{5}$ Division property of equality

Step by step solution

Step 1. Apply the multiplication property of equality.

If $a = b$ , then $c a = a b$ .

Step 2. Description of step.

Multiply each side of $\frac{3 a}{2} = \frac{6}{5}$ by 2 and simplify.

$\begin{matrix} 2 \times \frac{3 a}{2} = 2 \times \frac{6}{5} \\ 3 a = \frac{12}{5} \end{matrix}$

Step 3. Apply division property of equality.

If $a = b$ and $c \neq 0$ , then $\frac{a}{c} = \frac{b}{c}$ .

Step 4. Description of step.

Divide each side of the equation obtained in steps 2 by 3 to find the value of a.

$\begin{matrix} \frac{3 a}{3} = \frac{\frac{12}{5}}{3} \\ a = \frac{4}{5} \end{matrix}$

Therefore, the value of a is $\frac{4}{5}$ .

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Justify each step.
$\begin{matrix} \frac{3 a}{2} = \frac{6}{5} \\ 3 a = \frac{12}{5} \\ a = \frac{4}{5} \end{matrix}$

Short Answer

Step by step solution

Step 1. Apply the multiplication property of equality.

Step 2. Description of step.

Step 3. Apply division property of equality.

Step 4. Description of step.

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Justify each step.3a2=653a=125a=45

Short Answer

Step by step solution

Step 1. Apply the multiplication property of equality.

Step 2. Description of step.

Step 3. Apply division property of equality.

Step 4. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Justify each step.
$\begin{matrix} \frac{3 a}{2} = \frac{6}{5} \\ 3 a = \frac{12}{5} \\ a = \frac{4}{5} \end{matrix}$