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NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Updated for

You can choose to include answers and step-by-step solutions. Unlimited adaptive online practice on Linear Equations of One Variable. Practice that feels like play! Get shields, trophies, clss and scores. Master Linear Equations of One Variable as you play.

Take unlimited online tests on Linear Equations onf One Variable. Get instant scores and step-by-step solutions on submission.

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Let us consider an example to understand it. Example 1 : Sum of two numbers is One of the numbers is 10 more than the other number. What are the numbers? Further, it is given that one of the numbers is 10 more than the other. So, let y be 10 more than x, thus, we can write. Example 2 : The sum of three consecutive multiples is What are these integers?

Example 3 : The organisers of an essay competition decide that a winner in the competition gets a prize of Rs and a participant who does not win gets a prize of Rs The total prize money distributed is Rs 3, Find the number of winners, if the total number of participants is Find their present ages. To find solution of such equations, bring all quantities with variables on side of the equation and the left out quantities on the other side.

Now, solve the equation to obtain the solution. Example 3 : The denominator of a rational number is greater than its numerator by 8. Find the rational number. Solution : Suppose, the numerator of rational number is x. Login Register. Algebraic Expressions: Any expression containing constants, variables, and the operations like addition, subtraction, etc.

Equation: Any mathematical expression equating one algebraic expression to another is called as an equation. Remember, the highest power of the variable in these expressions is 1. In these examples, the power of variable is greater than 1, thus they are non-linear equations.

Some key points: i For any linear equation, there will be a presence of an equal to sign in the equation. These certain values are called the solutions of the equation.

Any expression involving constant, variable and some operations like addition, multiplication etc is called Algebraic Expression. A variable is an unknown number and generally, it is represented by a letter like x, y, n etc. The equation of a straight line is the linear equation. It could be in one variable or two variables. If there is only one variable in the equation then it is called a linear equation in one variable.

These are called linear equations in one variable because the highest degree of the variable is one and there is only one variable. There is an equality sign in the linear equation. The expression on the left of the equal sign is called the LHS left-hand side and the expression on the right of the equal sign is called the RHS right-hand side. In the linear equation, the LHS is equal to RHS but this happens for some values only and these values are the solution of these linear equations.

In this method, we have to add or subtract with the same number on both the sides without disturbing the balance to find the solution. Step 1 : We need to add 10 to both the sides so that the numbers and variables come on the different sides without disturbing the balance.

Step 2 : Now to balance the equation, we need to divide by 3 into both the sides. In this method, we need to transpose or transfer the constants or variables from one side to another until we get the solution. When we transpose the terms the sign will get changed.

We can use the concept of linear equations in our daily routine also. There are some situations where we need to use the variable to find the solution. What is the height of the rectangle whose perimeter is 96 cm 2 and the length is 12 cm?

As the equation can have the variable on both the sides also so we should know how to solve such problems. In Cbse Class 8 Linear Equations Worksheets this type of Byjus App 8th Class Maths Java problems, we need to bring all the constants on one side and all the terms having variables on the other side. Then they can be solved easily. Find their present ages. Multiply the LCM on both the sides, so that the number will reduce without the denominator and we can solve them by the above methods.

Solution As the equation is in complex form, we have to reduce it into a simpler form. Step 1 : Take the L. Step 2 : Multiply both the sides by 60,. Sometimes there are some equations which are not linear equations but can be reduced to the linear form and then can be solved by the above methods. Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians. Please choose valid name. Please Enter the valid Email.

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