Applications of Linear Equations in Real Life with Examples

Linear Equation - Cuemath

Linear Equation is an important concept in mathematics, and it has a lot of real-life applications. It is generally used for equations of a straight line. Linear equations have different terms associated with them, like linear equations, slopes, intercepts, points, etc.

To get a proper understanding of linear equations, you need first to understand these terms. The topic of linear equations is introduced at a later stage once students understand terms like variables, graphs, slopes, etc.

Sometimes students get difficulty understanding these terms of linear equations. In that case, can be a good option for students who want to understand different concepts of linear equations in detail. Cuemath is an online learning platform that helps students understand the why behind each topic so that students can get a crystal clear understanding of these topics.

Linear Equations have some surprising applications in our life. With the help of this blog, we will explore some of the applications in our day-to-day lives. But before exploring the applications of linear equations, let us go through the definition of linear equations and some of the basic terms related to them.

What are Linear Equations?

The first-order equations are known as linear equations. These equations form a straight line, and the general representation of a linear equation is denoted by the equation y=mx+b, where m is the slope. Linear equations can be of one or more than one variable. A linear equation that has only one variable is known as a linear equation with one variable.

Now that we know what a linear equation is let us explore some of the linear equations’ applications.

Applications of Linear Equations

You will be surprised to know that there are important linear equations applications in our day-to-day lives in various fields. In this section, we will explore some of the applications:

Estimating Costs

You can estimate the costs and charges of several things without missing quantities using linear equations. Suppose you want to calculate the taxi charges and you don’t know what distance you will be traveling. You can quickly form a linear equation by assuming x is the distance traveled. This way, the calculation becomes simple and easy.


Many people use linear equations for budgeting. In fact, many big companies estimate their budgets and the cost of their products using linear equations. Budgeting using linear equations helps these companies provide better rates to their customers, enabling them to perform well in the market.


Linear equations make a great tool for comparing different rates. Suppose two companies offer to pay you x amount for y hours of work. Using linear equations, you can choose which of these companies offers you a better rate for the number of hours you’re working. This is one of the most common applications of linear equations.


This is surprising but true! Linear equations help in making various predictions on an everyday basis. Many startups use linear equations to predict how they will perform in the future, and they also use them to predict the cumulative profits for each month. Although many real-world factors are considered while making the predictions, linear equations prove to be very helpful in such scenarios.

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