Solution of Linear Equations in Two Variables
To solve the linear equation in two variables we need two linear equations that are solved to get the solution of the linear equation. There are various methods to solve the linear equations in two variables such as Graphical Method, Simultaneous Solving, Substitution Methods, etc. This can be understood by the example discussed below,
Example: Solve the equation, x + y = 12 and y = x – 2
Solution:
Given Equation,
- x + y = 12…(i)
- y = x – 2…(ii)
putting the value of y from eq (ii) in eq (i) we get
x + (x – 2) = 12
⇒ x + x – 2 = 12
⇒ 2x = 12 + 2
⇒ 2x = 14
⇒ x = 7
Putting the value of x in eq (i)
7 + y = 12
⇒ y = 12 – 7 = 5
Thus,
- x = 7
- y = 5
Linear Equations
Linear equation is an equation in which the highest power of the variable is always 1. Linear equations are also called on-degree equations. These equations represent a line in the coordinate geometry. They can have one, two, three, or more variables. The standard form of the linear equation is Ax + By = 0.
Linear Equations
In this article, we will learn about Linear equations, their types, and examples in detail.
Table of Content
- Linear Equation Definition
- Linear Equation Formula
- How to Solve Linear Equations?
- Solution of Linear Equations in One Variable
- Solution of Linear Equations in Two Variables
- Linear Equation Graph