[Maths Class Notes] on Linear Equations in One Variable Pdf for Exam

The general form for the linear equation is jx + k = 0. In this equation, j and k are integers and the solution of x can only be 1. For instance, 8x + 7 = 10 is the equation, which is linear, and it only has a single variable in it. The only type of solution for this equation is x = ⅜ . In the case of the linear equation with two variables, there will be two solutions as it has got two variables. The formula list for linear equations reduces the time spent in searching for these formulas. The list provides great help to the students in ensuring that they don’t miss any of the formula while preparing for the board exams or the competitive exams.

In the worksheet, we get to work on the linear equations of one variable definition, real life instances of the linear equations in one variable, formulas, solution, word problems, and the worksheet.  

What is a Linear Equation in One Variable?

When we have the variable of one of a max of one order in the equation, then it is called the linear equation in one variable. The linear equation is generally expressed as jx + k = 0. In this equation j and k are the two integers and the solution for x can only be one. For instance, 5x + 6 = 10 is the equation which is linear and it only has a single variable within it. The only solution that you get for this equation is x = ⅘. Here are a few more samples of these equations: 13x – 92 = 139, 27x – 9 = 81.

Different Types of The Linear Equations

There are fundamentally three types of linear equations. They are as follows: 

• linear equations in one variable

• linear equations in two variables

• linear equations in three variables. 

Linear Equation Formula

The standard form of the linear equation is generally expressed in the following form:  jx + k =0. In this equation, j and k are the two integers, the solution for x can only be one, and the value for j and k can never be zero. 

The Process of Solving the Linear Equations in Variable

When you are solving an equation that only has one solution, then you should follow these steps:

• First find the LCM. If there are any fractions that exist, then you should clear them.

• The next step involves simplification of both sides of the equation as it happens.

• Next, you should isolate the variable on one side. 

• Finally you need to verify the result that you have obtained.