CBSE NCERT Class 10 Maths Chapter 3 Exercise 3.4 Solutions

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:(i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction?

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NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.4 Pair of Linear Equations in Two Variables

NCERT solutions for class 10 maths chapter 3 exercise 3.4 Pair of Linear equations in Two Variables introduces the elimination method, which is considered to be an easy one as compared to the other methods covered so far. The elimination method requires the removal of one variable in order to get the linear equation in one variable and then this value can be used to determine the remaining variable.

The chapter highlights the steps involved in this process as follows :

Firstly, in order to make the coefficients of one variable (x or y) equal, multiply both sides of the equation by some non-zero constants.
Now to eliminate one variable, add or subtract one equation from the other. In case an equation with one variable is obtained then proceed to step 3, else the given pair of equations is said to have infinitely many solutions if it is a true statement with no variable. Also, if a false statement is obtained with no variable, then the pair of equations is said to be inconsistent having no solution.
Proceed with the solving of the equation in one variable in order to get its value.
Substitute the resulting value of ‘x’ or ‘y’ in the original equation to get the complete solution.

This exercise consists of 2 questions with 4 and 5 subparts respectively. The NCERT Solutions Class 10 maths chapter 3 exercise 3.4 Pair of Linear equations in Two Variables is available in a scrollable PDF format given below and is compatible with all electronic devices:

☛ Download NCERT Solutions Class 10 Maths Chapter 3 Exercise 3.4

Exercise 3.4 Class 10 Chapter 3

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More Exercises in Class 10 Maths Chapter 3

NCERT Solutions Class 10 Maths Chapter 3 Exercise 3.4 Tips

NCERT solutions class 10 maths chapter 3 exercise 3.4 Pair of Linear equations in Two Variables explains the elimination method with the help of several examples. In some of the problems, using the elimination technique is quite helpful and easier than substitution. As the calculations become easier using this method thus, if not specified in the question kids are advised to utilize it.

NCERT solutions for class 10 maths chapter 3 exercise 3.4 explains the method of elimination in proper steps. This is very beneficial for kids as they have a clear idea of how to present their papers in the board exams to achieve the maximum score. Additionally, students also get an idea of how to represent this solution on a graph.

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NCERT Class 10 Maths Video Solutions Chapter 3 Exercise 3.4

NCERT Videos for Class 10 Maths Chapter 3 Exercise 3.4
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