Elimination method requires us to eliminate one of the variables so as to work with one variable to resolve the problem.

We multiply eqn1 by 2 and eqn2 by 3

We then add eqns 3 and 4 to get:

Now we have eliminated variable y, we can easily solve for x by dividing both sides of eqn 5 by 17

The next step is to substitute this value of x into any of equations 1 - 4. We use eqn 1

The solution to our problem is (2, 1)