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 the following methods.
- Elimination Method
- Substitution Method
- 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 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.