Gaussian Elimination Method:

The system of linear equations are.

There are two strategies that seem reasonable : eliminate the variable x or eliminate the variable y.

To eliminate the y variable multiply the first equation by negative 1 and add these two equations.

The resultant equation : .

Substitute the value of in the either equation and solve for y.

First equation : .

.

The solution is .

The system of equation has exactly one solution, so the system is consistent and independent.