RS Aggarwal Solutions Class 8 Chapter-8 Linear Equations (Ex 8A) Exercise 8.1 - Free PDF
Becoming an algebra expert will lead you to open new doors to help you build a better career. You need to be good at math solving to understand the concepts of computer science, and even in the medicine stream, this Rs Aggarwal math class 8 exercise 8a solution is going to help you. In Rs Aggarwal class 8 math ch 8 ex 8a, you will be learning to solve one of the most used mathematical equations. Which you will be using over and over again in incoming classes.
The linear equation is something which students need to put their time and effort into understanding completely. With math, Rs Aggarwal solutions class 8 exercise 8a, students get to have experience solving different types of problems, including linear equations and algebra. Not only with this article, but you will also be able to have Rs Aggarwal class 8 math chapter 8 exercise 8a solutions. But you will be learning innovative ways and shortcuts to check if your answer is correct or not?
The advantage of solving a system of linear equations by graphing is that it is relatively easy to do and requires very little algebra, and the main disadvantage is that your answer will be approximate due to having to read the answer from a graph.
Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 5 = 0, 2x = 8, m + 1 = 0, y/2 = 3, z+ y = 2, 3y – x + z = 3. In this article, we are going to discuss the definition of linear equations, standard form for linear equations in one variable, two variables, three variables and their examples with complete explanation.
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Download PDF of RS Aggarwal Solutions Class 8 Chapter-8 Linear Equations (Ex 8A) Exercise 8.1
How to Solve Linear Equations?
To solve linear equations in 2 variables, there are different methods. Following are some of them:
Method of substitution
Cross multiplication method
Method of elimination
We must choose a set of 2 equations to find the values of 2 variables. Such as ax + by + c = 0 and dx + ey + f = 0, also called a system of equations with two variables, where x and y are two variables and a, b, c, d, e, f are constants, and a, b, d and e are not zero. Else, the single equation has an infinite number of solutions.
Solution of Linear Equations in Three Variables
To solve linear equations in 3 variables, we need a set of 3 equations as given below to find the values of unknowns. Matrix method is one of the popular methods to solve a system of linear equations with 3 variables.
a1x + b1y + c1z + d1 = 0
a2x + b2y + c2z + d2 = 0 and
a3x + b3y + c3z + d3 = 0
FAQs on RS Aggarwal Solutions Class 8 Chapter-8 Linear Equations (Ex 8A) Exercise 8.1
1. Why do students need to study linear equations?
When it comes to defining linear equations, many students get stuck in the examples which are too complicated for others to understand. Linear questions in simple terms are the equations of the first order. These equations are mainly used to help students define the line present in the coordinate system. Linear equation solutions will give you a value that can be used in the place of an unknown value. Also, suppose there are two unknown values present in the linear equation. In that case, the student needs to use the cartesian product to find the two unknown values' values. The equation of a straight line is (y = mx+b), where (m) is the given line's slope. (b) is the y-intercept, and (x) and (y) are the coordinates on the x-axis and y-axis, respectively.
2. Why is algebra essential?
A student has to choose algebra to truly enjoy its beauty; Algebra provides us with the necessary language, which helps us define so many important things. These could be real-world phenomena such as gravity, to the number of people living in a single city. This five-letter word is enough to describe the world and all present in chemistry, such as the behavior of the ideal gases. If you want to pursue your career in statistics and analysis, you need to have a good grip on algebra. In addition to this, algebra can be used outside the workplace in making financial decisions at home. When you solve algebra problems, you are exercising your mind to make it work more efficiently, and it increases your logical thinking.
3. What are the Applications of Linear Equations according to RS Aggarwal Solutions Class 8 Chapter-8 Linear Equations (Ex 8A) Exercise 8?
In real life, the applications of linear equations are many. To tackle real-life problems using algebra, we convert the given situation into mathematical statements in such a way that it clearly illustrates the relationship between the unknowns (variables) and the information provided. The following steps are involved while restating a situation into a mathematical statement:
Translate the problem statement into a mathematical sentence and set it up in the form of algebraic expression in a manner it illustrates the problem aptly.
Identify the unknowns in the problem and assign variables (quantity whose value can change depending upon the mathematical context) to these unknown quantities.
Read the problem thoroughly multiple times and cite the data, phrases and keywords. Organize the information obtained sequentially.
Frame an equation with the help of the algebraic expression and the data provided in the problem statement and solve it using systematic techniques of equation solving.
Retrace your solution to the problem statement and analyze if it suits the criterion of the problem.
Applications of Linear equations in Real Life
Finding unknown age
Finding unknown angles in geometry
For calculation of speed, distance or time
Problems based on force and pressure
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5. Is it important to learn from RS Aggarwal Solutions Class 8 Chapter-8 Linear Equations (Ex 8A) Exercise 8?
Scoring good marks is an essential aspect of a Student's life, especially on boards. Learning from different sources enhances your knowledge and lets you think deeply about any topic. Though NCERT books are enough to learn and score well on your boards, it is about increasing knowledge and keeping the learning for a longer time; it's good to explore the particular topic more in-depth. Thus, it is important to refer to RS Aggarwal Solutions Class 8 Chapter-8 Linear Equations (Ex 8A) Exercise 8, at least once for reference. Vedantu, with the help of its professional teachers, helps you explore every topic in-depth and lets your learning process go smoothly.
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7. How difficult is it to understand RS Aggarwal Solutions Class 8 Chapter-8 Linear Equations (Ex 8A) Exercise 8?
It's not difficult if you refer to the right book and proper resources. As a student, you need to understand that referring to and reading the notes is not enough. You need to understand and write down all the notes in your own words. Linear Equations is one of the most exciting chapters of Class 8th Math and you may find all the related resources to the chapter in NCERT books and Vedantu's website/app.