The first step is finding a variable in one of the equations to solve for. I like how the x variable in your second equation has no coefficient, so I think I will solve for it:

***

Now that I have x in terms of y, I'm going to plug that x value into the OTHER equation:

So now we have an equation with just one variable. This should be easy to solve if we're careful with distribution and minus signs:

Alrighty, we have a y value. Now we want the x value. If only we had x written down in terms of y someplace .. oh hey, peek up at the *** above:

So our solution may be (4, -2).

Let's check just to make certain we're correct:

We've got it. And more importantly, we know we are right because of our check.