guessing by the name elementerystu, he/she is in elementary school, so maybe a simpler answer is desired.
well, anyway, let's take the example of salt and water. Salt and water are both polar substances (let's just say that means they are charged.) Because they are both the same (polar), this means that the salt can be dissolved by the water.
the same is true with a nonpolar and another nonpolar substance. A good example of this is that of acetone. Acetone is what is used as nail polish remover. If you put, say, plastic in the acetone, it will dissolve because both are nonpolar.
If you put plastic in water, obviously it would not dissolve, and this would be called a suspension, instead of a solution. another example of a suspension is mud or even dusty air.
Dissolving will always occur whenever the solute (thing getting dissolved) is in the presence of the solvent (the thing doing the dissolving.) However, this only happens to a point. If you dump too much salt in the water, the water will not be able to dissolve all the salt. This is called saturation. You can, however, put more salt in the water by raising the temperature of the water. As soon as the water cools, the extra salt will then fall out of solution and rest on the bottom of whatever container you used.
You can also dissolve a gas in a liquid (carbon dioxide in water, what you would call soda) or a solid in a solid, etc etc.
So to put this all in a diagram:
Solvent:...Solute:...Result:
Polar...Nonpolar...suspension
nonpolar...nonpolar...solution
polar...polar...solution
water...oil...suspension
acetone...plastic...solution
acetone...styrofoam...solution
acetone...salt...suspension
water...dirt...suspension
i could keep going, but i think that's what you were looking for. If I'm completely off...well then maybe you might want to make a post being more specific. if you're looking for some kinda graphic then just do a google search you should find something.