A knife and two spoons weigh two ounces more than three forks. Two knives and a fork weigh seven ounces more than four spoons. A knife, four spoons, and two forks weigh eight ounces.  

1. Set up the appropriate system of equations to solve this problem.

   Hint (a):

   Change each sentence to an equation. Be sure to define your variables.
   For example, the first sentence could become $k + 2s = 2 + 3f$.

2. Solve the system using matrices to determine the weight of each utensil.

   Hint (b):

   Before writing your matrix equation, make sure all of your equations have all of the variable on the left and the constant term on the right.