NCERT Solutions for Class 9 Maths Exercise 4.2 Linear equations in two variables in Hindi and English Medium updated for academic session 2022-2023. PDF and Video solutions of Exercise 4.2 in Class 9 Maths are given to download. Use all the contents on Tiwari Academy without any registration.
NCERT Solutions for Class 9 Maths Exercise 4.2
Finding solutions for Linear Equation in two variables
You have seen almost all the linear equation has a different and unique solution. Here in paragraphs of Exercise 4.3, you will study to calculate the solution for linear equations with two variables. Since there are two variables so you wouldn’t be wrong to expect a pair of answers. These pair of equations are generally called set of solutions or ordered pair. To plot an equation, we must need two sets of solutions.
Number of solutions of a Linear equation
There are infinite number of solutions are present on a linear equations. Here we will learn to find these solutions, so that we can easily plot it on Cartesian plane. For such equations first, you need to know the values of x and y, which satisfy the equation. Once you get the value, replace the variable with the value and solve it. The entire process is crucial to get the pair of answers. This will get you the coordinates of the Cartesian plane like (2, 0), (-3, 0), (4, 0) and other coordinates also. But in Exercise 4.2 you will find some of the trickiest questions like πx + y = 9.
Set of Solutions for a Linear Equation
You can read in the passage given in Exercise 4.2, where you will introduce to formal ways to approach one solution. It will get you an accurate answer of Linear Equation. But is it important to follow one path when you can choose many paths. You can read below the names of the methods that can make you get an accurate answer. If you are using pair of linear equations, follow the following methods to solve it.
- Graphical Method
- Substitution Method
- Cross Multiplication Method
- Elimination Method
Checking the solution of a Linear Equation
If we want to check that the given solutions satisfies the equation or not, just put the values of x and y. If the quantity given in LHS is equal to RHS, the point lies on the line. It is possible that you may be not aware of all methods, mention above, to get the answer. But knowing them all can provide an edge over techniques known to you. Hence, you need to know the basics of the methods.
However, you can also check NCERT solutions for Maths class 9 in Tiwari Academy app and website. Here you will get step-by-step guidance which will provide you in-depth knowledge to attain the answer.