An equation that represents a straight line in terms of one variable is called a linear equation in one variable.

In some cases, the mathematical equations are formed in terms of a variable. If the exponent of the variable in the equation is one, then the equation represents a straight line geometrically. So, an equation, which is written in terms of a variable is called the linear equation in one variable.

$2x-5 = 0$

It is an equation, which is written in terms of a variable $x$. Now, evaluate $x$.

$\implies$ $2x = 5$

$\implies$ $x = \dfrac{5}{2}$

$\implies$ $\require{cancel} x = \dfrac{\cancel{5}}{\cancel{2}}$

$\implies$ $x = 2.5$

Now, draw a graph for $x = 2.5$ in two dimensional Cartesian coordinate system. You observe that it is a straight line. Therefore, the equation $2x-5 = 0$ is called as a linear equation in one variable.

Here is some more examples for the linear equations in one variable.

- $x+9 = 0$
- $-7p = 3$
- $3l-\sqrt{8} = 0$
- $y+1.72 = 0$
- $4s-1 = 0$

$a$ and $b$ are two constants but $x$ is a variable. The linear equation in one variable is written in algebraic form mathematically as follows.

$ax+b = 0$

In algebraic mathematics, there are three different methods to solve the linear equations in one variable.

- Trial and Error
- Inverse Operations
- Transposition

Learn each method with understandable solved problems to study how to solve linear equations in one variable.

Latest Math Topics

Apr 18, 2022

Apr 14, 2022

Apr 05, 2022

Mar 18, 2022

Mar 05, 2022

Latest Math Problems

Apr 06, 2022

Mar 22, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2021 Math Doubts, All Rights Reserved