Question

What are the types of linear equations?

Answer 1

Define the types of linear equations.

The linear equation would be an algebraic expression of such type $\mathit{y}\mathit{=}\mathit{m}\mathit{x}\mathit{+}\mathit{b}$ that only has a constant and its first (linear) component, where $m$ is the slope while $b$ is the$y-\mathrm{intercept}.$

Linear equations are grouped into three types, as shown below:
Conditional Equation: It is the most often observed linear equation. Furthermore, the conditional equation has a single solution. Example: $2x–3=11$ is conditional Equation as it is true only for a single value of $x$ i.e. $x=7$

Identity equation: The identity equation is a linear equation whose solution is the set of all actual numbers. Example: $2x–x=x$ is Identity Equation as it is always true irrespective of the value of $x$ i.e. true for every value of $x$

Equation of contradiction: The contradiction equation would be a linear equation that has no solution. Example: $x–5=x+6$ is Contradiction Equation as it is never true irrespective of the value of $x$ i.e. true for no value of $x$

Hence, the conditional equation, Identity equation, and Contradiction equation are three types of linear equations.