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RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations (Ex 8.1) Exercise 8.1

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Last updated date: 22nd Jul 2024
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RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations (Ex 8.1) Exercise 8.1 - Free PDF Download

Free PDF download of RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations Exercise 8.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 8 - Solution of Simultaneous Linear Equations Ex 8.1 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.


Mathematics in Class 12 can be a complicated affair even for the ones who love the subject. Some of us find our heads spinning when we look at the amount of equations to be understood and solved! But should it always be that way? As Indians, we know how to make our way out of the toughest of situations after all! Did you know that famous Indian Mathematicians like Brahmagupta and Bhaskara II had established the importance of Algebra as early as 628 AD? It is even said that Modern Algebra is essentially Indian at heart and spirit!


Simultaneous Linear Equations are two Linear Equations taken together in two variables. To ensure that the equation is true or to solve the equation, you have to arrive at the values of the two variables. Linear Equations can be used for correlational analysis, i.e. to find out the relationship between an unknown variable and the information that has already been provided. Linear algebra itself is a fundamental branch of Mathematics with many practical applications. 

Competitive Exams after 12th Science
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Vedantu’s RD Sharma

Vedantu’s RD Sharma Solutions offers guided step-by-step solutions to all your troubles. They are easy to understand, will inspire you to solve even the toughest questions and sit back and relax because you would have done all the hard work well before your exams! The solutions are prepared to help thousands of students across the nation shine bright in their competitive examinations. 

FAQs on RD Sharma Class 12 Solutions Chapter 8 - Solution of Simultaneous Linear Equations (Ex 8.1) Exercise 8.1

1. What are some uses of Linear Equations in real life?

Linear Equations have many real-life examples like the distance you cover when you jog from one spot to another or measuring the railway coordinates of two locations in India. The characteristic of a Linear Equation is that it includes a rate of change. It can be used to solve equations and questions related to two or more variables in Money, Age, Geometry, Distance, Wages,Pressure and Force. It helps us express problem statements as accurate Algebraic Expressions. By the end of analysing and representing the data we can also go back and see if the result meets the criterion originally defined

2. How can I score well in Linear Algebra in Class 12?

As we keep saying, Mathematics in Class 12 cannot be taken lightly. At the same time don’t take it so seriously that it gives you stress! Take a balanced, well thought-out approach. Take down your doubts/challenges and strong points in two different sections. Get your doubts clarified with our Expert Teachers and strengthen your strengths further by using our revision notes. Keep practising consistently with the help of our NCERT Solutions and RD Sharma Solutions. You can also choose to study and practise in groups. It makes study fun and generates a deeper understanding

3. How else can I benefit from resources provided by Vedantu?

Vedantu has been helping over 40,000+ students across the Country with its resources and personalised learning methods. On our website you can find many useful links such as the RD Sharma Solutions, NCERT Solutions, CBSE Important Questions and Revision Notes to aid with your preparation. Each of these will help you in different aspects of your study. For example the revision notes will give you a bird’s eye view. The Solutions are prepared to enhance your practical understanding, also keeping the crucial questions in mind. And the important questions are prepared taking past question papers into consideration. So you see, you have a plethora of resources available! All you need to do is Sign In, register yourself and download the PDFs!

4. What are some methods to solve Linear Equations?

As we know solving a Linear Equation means to find the value of the unknown variables in the equation. There are 6 major methods of solving methods which are as follows: 

  • Elimination Method - addition or subtraction is used to equate or eliminate one of the coefficients.

  • Substitution Method - it is to substitute one equation for another. 

  • Graphical Method - the coordinates are plotted on a graph and the intersection point is found. 

  • Matrix Method - can be used to solve complex equations with two or more variables.

  • Cross Multiplication Method - another technique to simplify the equation.

  • The Method of Determinants - Like matrices, this one also helps us solve complex linear equations. 

5. What are the components and applications of Linear Algebra? 

Linear Algebra is used to study physical objects such as planes, lines and rotations. It is one of the fundamentals of Vector Geometry and used widely in disciplines such as Physics and Advanced Forms of Engineering. Some components of Linear Algebra include Vectors, Matrices, Linear Functions, Linear Algebraic Equations and so on. Vectors for instance can be defined as a physical quantity possessing both magnitude and direction. It is used in linear programming, ranking practises in search engine operations, creating 2D and 3D graphics, in automated technologies such as facial recognition systems, etc.