Are there more than one way to solve systems of equations by elimination?
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.
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
From Eqn 2 we have
Substitute in Eqn 1
Use in eqn 3
So we get