[Maths Class Notes] on Application of Linear Equations Pdf for Exam

There are a number of applications of linear equations in Mathematics and in real life. An algebraic expression consists of variables that are equated to each other using an equal “=” sign, it is called an equation. An equation with a degree of one is termed a linear equation. Mathematical knowledge is usually applied through word problems, and the applications of linear equations are observed on a wide scale to solve such word problems. Here is a detailed discussion of the applications of linear equations and how they will fit in the real world.

Linear Equation

A Linear equation is an algebraic expression that consists of variable and equality sign (=). Linear equations are classified based on the number of variables. 

Linear Equation with One Variable

The equation which has one degree and one variable is called a linear equation with one variable.

For Example: 5x +30 = 0, 3x + 12 = 48

Linear Equation with Two Variable

The equation which has one and two variables is called a linear equation with two variables.

For Example: 2x + 3y =12, 3x + 7y = 42

Representation of Linear Equations

The graphical representation of the linear equation is ax + by + c = 0. Where a and b are coefficients, x and y are variables, and c is a constant term.

Applications of Linear Equations

The applications of linear equations are vast and are applicable in numerous real-life situations. To handle real-life situations using algebra, we change the given situation into mathematical statements. So that it clearly illustrates the relationship between the unknown variables and the known information. The following are the steps involved to reiterate a situation into a mathematical statement,

• Convert the real problem into a mathematical statement and frame it in the form of an algebraic expression that clearly defines the problem situation.

• Identify the unknowns in the situation and assign variables of these unknown quantities.

• Read the situation clearly a number of times and cite the data, phrases, and keywords. Sequentially organize the obtained information.

• Write an equation using the algebraic expression and the provided data in the statement and solve it using systematic equation solving techniques

• Reframe the solution to the problem statement and analyze if it exactly suits the problem.

Using these steps, the applications of word problems can be solved easily.

Applications of Linear Equations in Real life

The following are some of the examples in which applications of linear equations are used in real life.

• It can be used to solve age related problems.

• It is used to calculate speed, distance and time of a moving object.

• Geometry related problems can be solved.

• It is used to calculate money and percentage related problems.

• Work, time and wages problems can be solved.

• Problems based on force and pressure can be solved.