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Chapter 1: Problem 107

What is a linear equation in one variable? Give an example of this type of equation.

Short Answer

Expert verified
A linear equation in one variable is of the form Ax + B = 0, where A and B are real numbers and A 鈮� 0. An example of a linear equation in one variable is 2x - 3 = 0.

Step by step solution

01

Recognize Linear Equation

You need to remember that a linear equation in one variable is an equation that can be put in the form Ax + B = 0, where A and B are constants (or numbers), and x is the variable.
02

Identify Key Features

The important thing to note here is that the variable x appears only once, and it is raised to the power of one, hence a 'linear' equation. Also, there is only one variable in the equation.
03

Provide an Example

Now, consider an example. The equation 2x - 3 = 0 is a linear equation in one variable (x). Here, A is 2 and B is -3. This follows our rule for a linear equation where Ax + B = 0.

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