Linear equations with two variables class 9 covers introduction and methods of solving linear equations with two variables
We all know about linear equation with one variable can be represented as
ax = b where a, b are constants and x is a variable.
Linear Equations with Two Variables will have two variables, it can be represented as
ax+by = c where a, b, c are constants and x, y are variables
Linear equations with two variables can be solved by a number of methods as mentioned below
- Graphing Method
- Substitution method
- Elimination method
Graphing Method
Inorder to solve Linear equations with two variables, the students have to learn rectangular axes for linear equation graph and Quadrants of Rectangular Axes. The students will get consistent and inconsistent equations which helps in solving the variable
Substitution Method
In this method the variables are substituted with one another to get the value of the two variables. Once the value of one variable is obtained, by substituting the value of one variable the value of other variable can be obtained. When value of both the variables is placed in the equation, a balanced equation indicates right solution.
Elimination Method
In this method, the two equations are multiplied with an appropriate number such that one of the variants gets nullified because of the negative signs. By solving the equation after multiplying will give you value of one variable. By substituting the value of obtained variable, the value of the other variable can also be obtained.
Download NCERT solutions for class 9 Maths chapter 4 pdf to allow easy availability of the study material.