RD Sharma Solutions for Class 8 Maths Chapter 9: Linear equation in one variable

The chapter deals with the concepts of balancing an equation, solution of equations, equations reducible to the linear form, expressions with variables, linear equation in one variable, reducing equations to a simpler form, solving equations having the variable on both sides, solving equations which have linear expressions on one side and numbers on the other side, some applications based on solving equations having the variable on both sides. The linear equations in one variable are equations written as ax+b = 0, where a and b are two integers and x is a variable, and there is only one solution.

5x-10= 50, for example, is a linear equation with a single variable. As a result, there is only one solution to this equation: x = 60/5, or 12.

A single-variable linear equation is the one with a maximum of one variable of order 1. Commonly x is used as the missing variable. Linear equations have a wide range of applications in real life. To use algebra to solve real-world issues, we turn any given scenario into equations that demonstrate the link between the unknowns (variables) and the knowledge presented.

The solution of a linear equation is extremely easy and can be done by following the steps mentioned below:

• Step 1: Add or subtract both sides of the equation to keep the variable term on one side and the constants on the other.
• Step 2: Reduce the number of constant terms.
• Step 3: Multiply or divide by the coefficient of the variable on one side of the equation into both sides of the equation to find the variable's value.
• Step 4: Simplify the solution and write it down.

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