# Are there more than one way to solve systems of equations by elimination?

##### 1 Answer

There are more than one way to solve the system of equations

The most utilised methods are elimination and substitution methods. I prefer substitution than elimination.

Other methods like Cramer's rule and other matrix methods such as Gauss elimination, Gauss - Jacobi are available. These are pretty advanced and can solve any number of linear equations.

A comparison of substitution and elimination methods is given below.

Example

**Elimination method**

Multiply Eqn 2 by '2' an add with Eqn 1.

*_**_**_*** _**__+

Substitute in one of the equations. Using Eqn 1 we have

Hence the solution is

**Substitution Method**

From Eqn 2 we have

Substitute in Eqn 1

Use in eqn 3

So we get