# RD Sharma Class 12 Chapter 8 Solutions (Solution Of Simultaneous Linear Equations)

RD Sharma Class 12 Maths Solutions Chapter 8 – Simultaneous Linear Equations can clarify all your questions while you revise and prepare for your examinations. In this chapter, you will be learning various concepts of Linear Equations such as the consistent system, homogeneous and non-homogeneous systems, matrix method for the solution of a non-homogeneous system, system of linear equations when the coefficient is a non-matrix, linear equations when the coefficient is a nonsingular, system of equations when the coefficient matrix is singular, system of the linear equation when the inverse of the coefficient matrix is obtained and so on.

Prepared by the class 12 maths subject matter experts at Instasolv, Simultaneous Linear Equations comprise of both the chapter-end exercises. There are only two exercises in the chapter and around 30 questions that will help you prepare the concepts comprehensively. Solutions to all questions of both exercises are provided to you for your in-depth learning.

What makes these solutions really useful for you is that they are prepared in accordance with the latest CBSE syllabus and guidelines. We have also ensured that each question is prepared in a step by step format so that you can understand how to apply the concepts. All the solutions are 100% error-free and as per the class 12 syllabus.

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

RD Sharma Solutions Class 12 Maths Chapter 8- Simultaneous Linear Equations an essential one from your examination point of view. You will be able to solve the questions of this chapter effortlessly once you have understood the chapter, Adjoint of a Matrix. This chapter requires an in-depth understanding of concepts and rules. It is also important to keep practising each numerical until you perfect it. Here are some important topics you need to understand while revising the chapter:

**System of Linear Equations**

To understand the concepts of this chapter, it is important to know what a system of linear equations means. A collection or group of linear equations consisting of the same set of variables is said to be a system of linear equations.

**Consistent System**

In this portion of the chapter, you will learn how to check the consistency of linear equations. A linear system of equations is said to be consistent when there is at least one set of values for the unknowns which satisfies each equation. This means that each equation holds true as an identity when substituted. This is done by first finding out the ratios of the coefficient of the equations.

**Homogeneous and Nonhomogeneous Systems**

It is important to understand the meaning of homogeneous and non-homogeneous systems. Homogeneous systems are the systems of linear equations whereas all the constant terms are zero. For e.g., the system of linear equation Ax=b is homogeneous if b=0. Here, if b is not equal to 0, then it is a non-homogeneous system.

**Coefficient Matrix**

In this chapter, you will be solving the system of linear equations with the coefficient matrix. A coefficient matrix consists of the coefficients of variables that are present in a set of linear equations.

**Solutions of System of Linear Equations**

In this portion of the chapter, you will learn the importance of solutions to systems of linear equations. When the values of the variables satisfy all the linear equations, they are known as solutions of a system of linear equations.

### Exercise-Wise Discussion of RD Sharma Class 12 Maths Solutions Chapter 8- Simultaneous Linear Equations

- RD Sharma Class 12 Maths Chapter 8 Simultaneous Linear Equationsconsists of 2 exercises with a total of 30 questions;
- EX 8.1 consists of 20 questions. You’ll be asked questions like solving a system of equations by matrix method, consistency of the system of linear equations, inconsistency of linear equations, etc. It will help you in understanding the major concepts through constant practices;
- EX 8.2 is shorter in comparison to EX 8.1. It consists of 10 questions. This exercise is more intensive. You might be asked questions like calculating investments using the matrix method, finding numbers using matrices, etc. This exercise will clarify all your underlying doubts after the first exercise;
- RD Sharma Class 12 Maths Solutions Chapter 8 Simultaneous Linear Equations by Instasolvis the handiest and helpful guide to passing with flying colours.

### Benefits of RD Sharma Class 12 Maths Solutions Chapter 8- Simultaneous Linear Equations by Instasolv

RD Sharma Solutions for Class 12 Maths Chapter 8 – Simultaneous Linear Equations by Instasolv is a perfect choice when it comes to doubt clearing, revision and exam preparations. Once you’ve understood the methodologies used, you will begin to aim for the perfect score in Maths. These solutions can also help you prepare for JEE Main and NEET exams as we have also included tricks and shortcuts in the solutions after providing you with a step-wise explanation of the answer.