Quiz 1:

Q:
1) Find the solution to the following system of equations:  P=25-Q and P=5+3Q.  
2) Fid the slope of x³y=5.

A:
1)  25-Q=5+3Q since where the two line cross the Ps will be the same. 
This gives 20=4Q or Q=5.  Plug this back into either equation to find that P=5+3(5)=20.

2)The slope is dy/dx.  This can be found as -(df/dx)/(df/dy).  For this problem df/dx=3x²y and dy/dx=x³.
Hence the slope is -3x²y/x³ = -3y/x.