Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 2: Q1 (page 41)

Justify each step.
$\begin{matrix} 4 x 鈭� 5 = 鈭� 2 \\ 4 x = 3 \\ x = \frac{3}{4} \end{matrix}$

Short Answer

Expert verified

$4 x 鈭� 5 = 鈭� 2$ Given

$4 x = 3$ Addition property of equality

$x = \frac{3}{4}$ Division property of equality

Step by step solution

Step 1. Apply additional property of equality.

If $a = b$ and $c = d$ , then $a + c = b + d$ .

Step 2. Description of step.

Add 5 on both sides of $4 x 鈭� 5 = 鈭� 2$ and simplify.

$\begin{matrix} 4 x 鈭� 5 + 5 = 鈭� 2 + 5 \\ 4 x = 3 \end{matrix}$

Step 3. Apply the division property of equality.

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

Step 4. Description of step.

Divide each side of the equation obtained in steps 2 by 4 to find the value of x.

$\begin{matrix} \frac{4 x}{4} = \frac{3}{4} \\ x = \frac{3}{4} \end{matrix}$

Therefore, the value of x is $\frac{3}{4}$ .

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91影视

Justify each step.
$\begin{matrix} 4 x 鈭� 5 = 鈭� 2 \\ 4 x = 3 \\ x = \frac{3}{4} \end{matrix}$

Short Answer

Step by step solution

Step 1. Apply additional property of equality.

Step 2. Description of step.

Step 3. Apply the division property of equality.

Step 4. Description of step.

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91影视

Justify each step.4x鈭�5=鈭�24x=3x=34

Short Answer

Step by step solution

Step 1. Apply additional property of equality.

Step 2. Description of step.

Step 3. Apply the 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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Justify each step.
$\begin{matrix} 4 x 鈭� 5 = 鈭� 2 \\ 4 x = 3 \\ x = \frac{3}{4} \end{matrix}$