Graphical Representation
In this method, we represent the equations on the graph and find out their intersection through it. We look for the points which are common to both lines, sometimes there is only a point like that, but it might also happen that there are no solutions or infinite solutions.
Example: Find out the intersection of the following lines.
3x + 5y = 6
x + y = 2
Solution:
We will plot both the lines on the graph.
Graphical Representation of linear equation
These lines intersect at (2,0).
Pair of Linear Equations in Two Variables
Linear Equation in two variables are equations with only two variables and the exponent of the variable is 1. This system of equations can have a unique solution, no solution, or an infinite solution according to the given initial condition. Linear equations are used to describe a relationship between two variables. Sometimes in some situations, we don’t know the values of the variables we want to observe. So, then we formulate the equations describing how they behave and solve them. The Number of equations obtained should be equal to the number of variables.
Let’s learn about the Pair Of Linear Equation In Two Variables and their solution in this article.
Table of Content
- Pair of Linear Equations In Two Variables
- What are Pair of Linear Equations in Two Variables?
- Pair of Linear Equations in Two Variables Formulas
- Representation of Pair of Linear Equation in Two Variables
- Graphical Representation
- Algebraic Methods of Solving a Pair of Linear Equations
- Pair of Linear Equations in Two Variables Class 10 Extra Questions
- Pair of Linear Equations in Two Variables Solutions