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 an equation that can be written in the form \(ax + b = 0\), where \(a\) and \(b\) are numbers and \(x\) is the variable. The highest power of the variable is 1. An example is \(2x + 3 = 0\).
1Step 1: Defining Linear Equation
A linear equation in one variable is an equation that can be written in the form \(ax + b = 0\), where \(a\) and \(b\) are numbers and \(x\) is the variable. The highest power of the variable \(x\) is 1, which makes the graph of any such equation a straight line.
2Step 2: Creating an Example
An example of a linear equation in one variable can be \(2x + 3 = 0\). In this equation, \(x\) is the variable, while \(2\) and \(3\) are the coefficients. It is a linear equation because the power of \(x\) is 1.
Other exercises in this chapter
Problem 106
A basketball player's hang time is the time spent in the air when shooting a basket. The formula \(t-\frac{\sqrt{d}}{2}\) models hang time, \(t\), in seconds, i
View solution 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
View solution Problem 107
Solve each equation in Exercises \(83-108\) 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
View solution