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# NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.3 Pair of Linear Equations in Two Variables - PDF Download

Class 10 NCERT solutions for class 10 maths chapter 3 ex 3.3 Pair of Linear Equations in Two Variable focuses on explaining the Elimination Method, which is the simple method as compared to other methods previously discussed. The elimination method involves the reduction of one variable to obtain the linear equation in a one variable, and then the value of that variable can be used to determine the remaining variable.

Class 10 maths exercise 3.3 chapter 3 NCERT solutions consists of two questions with four and five subdivisions. Exercise 3.3 class 10 maths solutions is available for free to download in PDF format on eSaral website. Students can easily download these solutions PDF and practice all the important questions of ex 3.3.

## Topics Covered in Exercise 3.3 Class 10 Mathematics Questions

NCERT solutions class 10 maths chapter 3 ex 3.3 covers some significant topics to solve algebraic methods of solving a pair of linear equations. Here, you can go through these topics and concepts to get a better understanding of questions of ex 3.3.

 1 Elimination Method
1. Elimination Method - In the elimination method, an equation is multiplied by a specific factor to equalize the coefficient of a variable in both equations. And then, an equation is subtracted from or appended to another equation to remove one of the variables.

Important Steps Involved in Elimination Method to Find the Solutions of A Pair of Linear Equations:

Step 1 - First, to equalize the values of a one variable ( x or y), multiply both sides of equation by a non-zero constant.

Step 2 - Then add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3.

If in Step 2, we obtain a true statement involving no variable, then the original pair of equations has infinitely many solutions.

If in Step 2, we obtain a false statement involving no variable, then the original pair of equations has no solution, i.e., it is inconsistent.

Step 3 - Solve the equation in one variable (x or y) so obtained to get its value.

Step 4 - Substitute this value of x (or y) in either of the original equations to get the value of the other variable.

## Tips for Solving Exercise 3.3 Class 10 Chapter 3 Pair of Linear Equations in Two Variables

To solve questions related to elimination method in ex 3.3, our mathematics academic experts have provided some useful tips on how to solve the questions. Here, you can check all the tips for your convenience.

1. The elimination method is very useful and simpler than the substitution method. Since the calculations are simpler using this method, you can use this method to solve a linear equation.

2. NCERT solutions for class 10 maths chapter 3 ex 3.3 elimination method is explained in easy and simple steps. This method of elimination is very useful for students as they know how to answer the questions with the correct steps.

3. In addition, they'll also get to know how to show the solutions on a graph.

## Importance of Solving Ex 3.3 Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

NCERT solutions class 10 maths ex 3.3 provides some important benefits of elimination method and concepts. Here are some of them.

1. The questions of ex 3.3 are solved by the subject experts of eSaral.

2. NCERT solutions for class 10 maths ex 3.3 can help the students to score well in the maths exams as the elimination method has been explained in step by step manner.

3. All of the solutions offered are accurate and high quality.

4. It increases the student's confidence in the ability to solve questions that are based on the elimination method.