List The Methods Used For Solving Linear Equations

Question: List the methods used for solving linear equations.

The method to solve linear equations is to find a solution satisfying all the linear equations.

Answer: The system of linear equations can be solved using following methods.

  1. Elimination Method
  2. Substitution Method
  3. Graphical Method


Let's see the method to solve a linear equation in one variable: 3x + 5 = 11

To find the value of x, we remove 5 from L.H.S, so we will subtract 5 from both sides of the equation.

3x + 5 - 5 = 11 - 5

We get, 3x = 6

Now we will to remove 3 from L.H.S in order to get x, therefore we divide the equation by 3

3x/3 = 6/3

x = 2

Hence, the solution of the equation 3x + 5 = 11 is x = 2.

There are several ways to solve linear equations in two variables.