We want to solve the system
using the . We then need to eliminate one of the variable terms when one equation is added to or subtracted from the other. For that to happen we first need to manipulate one or both equations. Let's multiply Equation (II) by
as this will make the
-terms get opposite .
This give us the following system of equations.
If we add the equations the
-terms will eliminate each other.
We can find
by solving the resulting equation.
we can substitute
in any of the original equations. Let's use Equation (II).
We have found the solution to the system of equations and it is