Linear Equations

What is Linear Equation?

Linear equations are the equation, with degree one i.e. in these equations the highest power of the variable is one. These equations can have one, two, three, or more variables.

What is linear equation and simple equation?

Linear equations are euqtaions with highest power of variable to be 1 and linear equation in one variable is called simple equation.

What are Examples of Linear Equations?

Some examples of linear equations are,

• 2x – 1 = 0 (Linear Equation with One Variable)
• x + 3y = 17 (Linear Equation with Two Variables)
• x – y + 2z = 2 (Linear Equation with Three Variables)

What is the Formula for Linear Equation?

Formula for the linear equation is,

In standard form,

• ax + by + c = 0

In slope form,

• y = mx + c

How To Solve Linear Equations?

Linear equations can be solved by various methods we can solve linear equations in one variable, linear equations in two variables, etc by different methods.

For a linear equation with two variables, we required two equations, that can be solved by various methods such as substitution method, simultaneous equation solving, etc.

Can a Linear Equation in Two Variables have More Than One Solution?

Yes, a linear equation in two variables can have more than one solution, as when a graph of both linear equations coincides, then it can have infinitely many solutions.

Can Linear Equation have More Than Two Variables?

Yes, a linear equation can have however many multiple variables as long as all the variables have at most a degree of 1. 

Linear equation is an equation in which the highest power of the variable is always 1. Linear equations are also called on-degree equations. These equations represent a line in the coordinate geometry. They can have one, two, three, or more variables. The standard form of the linear equation is Ax + By = 0.

In this article, we will learn about Linear equations, their types, and examples in detail.