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 in the form \(ax + b = 0\) where \(a\) and \(b\) are some fixed numbers and \(a \neq 0\). An example is \(2x - 5 = 0\).
1Step 1: Definition
A linear equation in one variable is an equation that can be written in the form \(ax + b = 0\), where \(a\) and \(b\) are some fixed numbers and \(a \neq 0\). The variable \(x\) represents the number that makes the equation true.
2Step 2: Example
An example of this type of equation could be \(2x - 5 = 0\).
Other exercises in this chapter
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 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 108
Solve each equation in Exercises \(83-108\) 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 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