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.

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