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# RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations (Ex 8.2) Exercise 8.2 ## RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations (Ex 8.2) Exercise 8.2 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations Exercise 8.2 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 8 - Solution of Simultaneous Linear Equations Ex 8.2 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Last updated date: 28th May 2023
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## Definition of Simultaneous Linear Equations

Simultaneous Linear Equations can be defined as two linear equations when present in two variables if taken together.

• Simultaneous Linear Equation establishes the relationship between a lot of things like speed, time, distance, and two varying quantities, etc. We apply Simultaneous Linear Equation applications in our daily to daily life without knowing.
• In simpler terms if any two Linear Equation Systems are drawn together on a single graph leading to their intersection point having two Linear Equations shows US Simultaneous Linear Equations.

There are a number of methods by which the questions of Simultaneous Linear Equations could be solved given below are few of such methods:

1. Substitution method

2. Elimination method

3. Graphical method.

Some of the common deductions which could be applied for easy and time saving solving of Simultaneous Linear Equations with any number of equations and any number of unknowns are as follows-

• For the solution of Simultaneous Linear Equation to be unique that particular system of equation with n unknown should have the presence of at least n number of equations if under any circumstances the number of equations is less then and equations that would result in the result not being unique meaning by less number of equations is not enough.

• If the equations given in the question are not redundant or inconsistent then and only then the presence of n number of equations is enough.

• In the questions where the number of equations is more than n number of equations, that would result in the solution being redundant or either being inconsistent.

• If the proportion of all variables of the given number of equations is equal that would lead to infinitely many solutions the solutions would be consistent and dependent.

• In the question where the proportion of variables of two equations is equal but not equal to the simultaneous third equation in that scenario there won't be any solution found therefore it would be inconsistent and independent.

### Outline from RD Sharma Chapter 8th Class 12th :

Exercise 8.1- 52 question

Exercise 8.2- 8 question

Exercise 8.3/ MCQ- 10 question

Exercise 8 V S A Q- 6 question

## FAQs on RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations (Ex 8.2) Exercise 8.2

1. What are the things we learn from RD Sharma Chapter 8 Class 12th?

As we know that RD Sharma provides a wide range of questions in respect to every chapter RD Sharma main focus is based on student's having a stronger grip on the fundamental concepts and making them stronger by practice and in the particular Chapter of Simultaneous Linear Equation helps the students to solve the question by using multiple techniques and remember those techniques by practice some of the techniques involve comparison method, elimination method, substitution method, and cross multiplication method and also enables the student to identify the questions in which pair of linear equation is converting into simultaneous equations, therefore, making it easier to solve the Linear Equation questions.

2. What all should I know beforehand to start with the Chapter 8 Class 12th  from RD Sharma?

As a student of Class 12th  to be appearing for the board exam and solving the Simultaneous Linear Equations solutions from RD Sharma should be well accustomed to topic and concepts like a system of linear equations, equivalent systems, elementary row operations, row echelon form, Matrix athematic and matrix algebra and elementary matrix.

3. What are the different methods used in solving Simultaneous Systems of Linear Equations?

Students should be well up there about the methods like graphing method substitution method linear combination method also known as addition method for elimination method and the matrix method all these methods are stepwise explained in the solution provided for RD Sharma by Vedantu which you can download from Vedantu app or website in a user-friendly way.

4. How to score good marks in the Class 12th board exam?

To score well one must prepare notes beforehand from NCERT textbooks and classroom lectures about all the theory subjects in concern apart from that, in respect to numerical questions one must practice all the questions available in NCERT textbooks and to ace the exams they must solve extra books like R. D Sharma to enhance their ability to solve multiple varieties of numerical or technical questions that could be formed from the particular topic and finally get the grip over different techniques to solve the questions faster and then decide for themselves which one works for their best during the examination.