## Linear Equation in One Variable – Introduction

A linear equation in one variable is an equation that can be written in the form ax + by = c, where a, b, and c are real numbers and a and b are not both zero. The equation is linear because the graph of the equation is a line.

## What is a Linear Equation in One Variable?

A linear equation in one variable is an equation that states that two points on a line are equal. The equation typically has the form y = mx + b, where m is the slope of the line and b is the y-intercept.

## Different Types of The Linear Equations

Linear equations are mathematical expressions that involve one or more variables and one or more constants. The linear equation can be written in the form ax + by = c, where a, b, and c are constants and x and y are variables.

There are three different types of linear equations:

1. Single variable linear equations

2. Linear equations with two variables

3. System of linear equations

1. Single variable linear equations are equations that involve only one variable. The equation can be written in the form ax = b, where a and b are constants and x is the variable.

2. Linear equations with two variables are equations that involve two variables. The equation can be written in the form ax + by = c, where a, b, and c are constants and x and y are the variables.

3. System of linear equations are equations that involve more than two variables. The equation can be written in the form ax + by + cz = d, where a, b, c, and d are constants and x, y, and z are the variables.

## Linear Equation Formula

a linear equation is an equation in which each term is a linear function of the preceding term.

ax + by = c

## The Process of Solving the Linear Equations in Variable

In order to solve the linear equations in variable, the first step is to identify the coefficients of the variable and the constant terms. Next, isolate the variable term on one side of the equation and solve for it. Finally, check the solution to ensure that it is correct.