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RD Sharma Class 12 Maths Solutions Chapter 8 - Solution of Simultaneous Linear Equations

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Last updated date: 29th Feb 2024
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Introduction to Solution of Simultaneous Linear Equations - Free PDF Download

Students can download RD Sharma Class 12 Solution of Simultaneous Linear Equations from Vedantu for free of cost. By practicing these solutions they will be able to get their doubts cleared instantly. RD Sharma Class 12 Chapter 8 Maths will help them to score well in Mathematics board exams as well as in competitive exams. We mainly focus on providing answers, which are in an easy-to-understand format, and further help students to clearly understand and remember the important formulae.

Competitive Exams after 12th Science

Introduction to RD Sharma Class 12 Chapter 8 Maths

The simultaneous equation model is a statistical model in which the dependent variable is a function of other dependent variables, not just like the independent variable. To solve the linear equation we have to look for the variable values ​​that make all equations true at the same time. In this Pdf, our experts are providing detailed solutions of simultaneous linear equations that will help students to understand the concept easily. RD Sharma Class 12 Chapter 8 Maths mainly focuses on the homogeneous and non-homogeneous system of equations. Following are some of the important concepts that are discussed in this chapter.

Definition and Meaning of Consistent System

  • Homogeneous and non-homogeneous systems

  • The matrix method for the solution of a non-homogeneous system

  • To solve the given system of linear equations when the coefficient matrix is nonsingular.

  • To solve the given system of equations when the coefficient matrix is singular

  • To solve a system of linear equations when the inverse of the coefficient matrix is obtained

  • Applications of simultaneous linear equations

  • The solution of the homogeneous system of linear equations requires 

  1. The determinant of the coefficient matrix is a non-singular matrix

  2. The determinant of the coefficient matrix is a singular matrix.

The Process of Framing Simultaneous Linear Equations from Mathematical Problems are:

  • To solve simultaneous system equations by the method of comparison and method of elimination

  •  To acquire the ability to solve a simultaneous system of equations by the method of substitution and method of cross-multiplication.

  • We should know the condition for a pair of linear equations to become simultaneous equations

  • To acquire the ability to solve mathematical problems by framing simultaneous equations.

Exercises in RD Sharma Class 12 Chapter 8 Maths

  • Exercise 8.1

  • Exercise 8.2

Preparation Tips to Solve Simultaneous Linear Equations

In the pdf, we have provided quick and easy tips and tricks for students on Linear Equation questions which and efficiently in competitive exams as well as other recruitment exams.

Simultaneous linear equations can be easily solved by eliminating the wrong options. It means to put the given values in the equation and check which one is satisfying the equation.

Always start to solve from standard form of linear equations is y= mx+b

Reasons to Use Our Solutions for Chapter 12 Maths

Studying from the RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations created by these experts is one of the most useful strategies a CBSE Class 12 student can follow in order to score high and get a better rank. Several studies on former class 12 students have shown that using this study material as a supplementary strategy to prepare for CBSE Class 12 board examination is actually beneficial. Even if a student reads and tries to memorize the Class 12 textbook cover to cover, it would not be as beneficial as studying both of the things together. 

Instead, students can use the RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations by tapping on a link provided on this page. This link will take the students to a download page where they will be asked for their Gmail ID. After signing in, they will get access to the PDF version of RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations. 

This study material is completely free of charge. That's because we, at Vedantu, believe that in order to reach out to as many students as we can, we have to sacrifice something. And that's why we decided to give away our valuable and expertly-created study materials for free. 

We also have created a mobile app for students who like to use apps for convenience. Yes, that app will provide a better user experience and convenience to the users. Students can download the app from Google Play Store. This app is available across all devices which includes mobile phones and tablets. 

Conclusion

For students who wish to get excellence in their exams and build their confidence level high, the best is to practise RD Sharma Class 12 Solution of Simultaneous Linear Equations available at Vedantu website in PDF format. On the regular practice of these questions, students can speed up the method of solving problems by using short-cut tips to secure high marks in their examination. Sometimes, it leads to a unique solution, but for some systems, it shows there are no solutions, and for other systems, it produces infinitely many solutions.

FAQs on RD Sharma Class 12 Maths Solutions Chapter 8 - Solution of Simultaneous Linear Equations

1. Why we should refer to R.D Sharma PDF solutions provided by Vedantu?

This PDF will provide students with a very clear idea about what type of questions are being framed for the exam and from which topics. We have also provided questions on the various pattern which will be very helpful to students.

2. What is the simultaneous linear equation?

Simultaneous linear equations are two linear equations in two variables taken together. The solution of a system of simultaneous linear equation represented in the ordered pair (x, y) which satisfies both the linear equations.

3. What are the 5 different forms of linear equations?

Five different forms of linear equations are:

  • slope-intercept form for the equation of a line.
  • point-slope form for the equation of a line.
  • the general form for the equation of a line.
  • standard form for the equation of a line.
  • how to convert between the different forms of linear equations.

4. Is chapter 8 (Solution of Simultaneous Linear Equation) in the NCERT exemplar for class 12 Maths difficult to grasp?

No, chapter 8 (Solution of Simultaneous Linear Equations) in the CBSE syllabus of class 12 Maths is not tough for most of the students. Rather, it is admitted to be one of the most interesting and the simplest chapters by most of the former students. Also, from CBSE's point of view, this chapter holds a great amount of significance in the class 12 annual examination for Maths. Although some students who might not be interested in this topic can find this a bit tough, they can easily understand it by studying from the RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations provided by Vedantu. Students can also download the Vedantu mobile app for more convenience.

5. Can I achieve good marks with Vedantu's RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations? 

Yes. Studying RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations will help students score better in the CBSE class 12 annual examination. That's because students will be ready for any highly critical problem that has a significant likelihood of coming up in the examination. These solutions are formulated by specialists working at Vedantu. That's why studying these will definitely help students of class 12 focus on the important topics more. Meaning, students can stop wasting time memorizing insignificant topics. Also, practising these solutions on a regular basis will help students score well in their annual examination by acquiring the essential assurance.

6. Are solutions in Vedantu's RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations up to date?

Talking about the applicability of these study gears, yes, Vedantu's provided solutions in RD Sharma Solutions for Class 12 Maths - Solution of Simultaneous Linear Equations are completely up to date. At Vedantu, we do not believe in negotiating the future of any student for the sake of saving some time or money. Our panel of experts take extra effort to make sure a student will always receive the best possible value from these study gears. That's why, at Vedantu, we perform research and update our database regularly without failure.