Chapter 2: Q3B. (page 85)

Evaluate the following equation:
$- \frac{1}{4} = \frac{2}{3} b$

Short Answer

Expert verified

The solution of the equation $- \frac{1}{4} = \frac{2}{3} b$ is $b = - \frac{3}{8}$ .

Step by step solution

Step 1. Given information.

The given equation is $- \frac{1}{4} = \frac{2}{3} b$ .

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

If an equation is true and the same number is added to each side of the equation, then the resulting equivalent equation is also true.

Step 3. Solve the equation.

The equation $- \frac{1}{4} = \frac{2}{3} b$ can be solved below:

$- \frac{1}{4} = \frac{2}{3} b$

Multiply both sides by 3,

$\begin{matrix} - \frac{1}{4} \times 3 = \frac{2}{3} b \times 3 \\ - \frac{3}{4} = 2 b \end{matrix}$

Divide both sides by 2,

$\begin{matrix} - \frac{3}{4 \times 2} = \frac{2 b}{2} \\ - \frac{3}{8} = b \end{matrix}$

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Evaluate the following equation:
$- \frac{1}{4} = \frac{2}{3} b$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the equation.

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Evaluate the following equation:−14=23b

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the equation.

One App. One Place for Learning.

Most popular questions from this chapter

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Evaluate the following equation:
$- \frac{1}{4} = \frac{2}{3} b$