1. Find as many solutions as possible for A, B, and C that satisfy both equations:

ABC = 4

3A + 2B - C = 3.

First of all, let's set both equations equal to C.

Now all we have to do is find out how many solutions there are to this equation. Looking at the corresponding graph will give us an idea of how many there are. Once we figure out how many "points" there are on the graph, we just plug in each "point" into either one of the original equations to retrieve the "C" value. (In other words, let our A value correspond to the x-value on the plane and our B value to the y-value on the plane.) Now, let's take a look at that graph.

Well, one can see that there is an infinite amount of points on this graph. That means that there is an infinite amount of A and B values which in turn means that there is an infinite amount of corresponding C values. So the answer is: infinite solutions!!