Problem 107
Question
What is a linear equation in one variable? Give an example of this type of equation.
Step-by-Step Solution
Verified Answer
A linear equation in one variable is of the form Ax + B = 0, where A and B are real numbers and A ≠ 0. An example of a linear equation in one variable is 2x - 3 = 0.
1Step 1: 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.
2Step 2: 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.
3Step 3: 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.
Other exercises in this chapter
Problem 107
When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that sat
View solution Problem 107
Solve equation by the method of your choice. $$ \frac{2 x}{x-3}+\frac{6}{x+3}=-\frac{28}{x^{2}-9} $$
View solution Problem 108
When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that sat
View solution Problem 108
Solve equation by the method of your choice. $$ \frac{3}{x-3}+\frac{5}{x-4}=\frac{x^{2}-20}{x^{2}-7 x+12} $$
View solution