RD Sharma Class 7 Solutions Chapter 8 - Linear Equations in One Variable (Ex 8.4) Exercise 8.4

The linear equation in one variable is written as ax+b = 0, with a and b being two integers and x being a variable. It has only one solution. 2x+3=8, is a single-variable linear equation, for example. As a result, there is only one solution to this equation, which is x = 5/2. A linear equation in two variables, on the other hand, has two solutions.

This lesson explored the notion of a linear equation in one variable, including its definition, answers, examples, word problems, and worksheet questions. This is an important topic for pupils in Class 7. So, what is the definition of a one-variable equation?

A linear equation with a maximum of one variable of order one is known as a one-variable linear equation. The formula is axe + b = 0, using x as the variable.

There is just one solution to this equation. Here are a few examples:

• 4x = 1

• 44x-1=0

• 4x+9=-11

The most basic rule for solving linear equations is to add, subtract, multiply, or divide the same term into both sides of the equations to determine the value of the variable. The following are the stages of solving one-variable linear equations:

• By adding or subtracting the identical term on both sides of the equation, isolate the variable term on one side.

• Multiply or divide both sides with the variable's coefficient so that the variable is only on one side of the equation.

• Reduce the problem to its simplest form, "x=c."

Important points to remember are-

The following considerations assist us in summarizing the principles involved in one-variable linear equations.

• In linear equations, the degree of the variable should be exactly one.

• A linear equation in one variable has a straight line as its graph, which might be horizontal or vertical.

• Any quantity added, subtracted, multiplied, or divided into both sides of a linear equation in one variable has no effect on the solution.

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The RD Sharma solutions for class 7 chapter 8 – linear equations in one variable are to help students understand how to solve equations using linear expressions on one side and values on the other. The chapter covers a variety of topics, including solving equations, simplifying equations, and more. Our RD Sharma solution consists of-

• Step-by-step solutions assist students to understand the topics in a transparent manner by removing all of the chapter's complexity. 

• The solution includes several completed exercises as well as detailed explanations from our experts to help students practice solving equations in a more enjoyable manner. 

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