Use the following to answer questions 6 - 8.

A small corporation borrowed $150,000 to expand its operations. Some of the money was borrowed at 8%, some was borrowed at 9%, and some was borrowed at 12% for a total interest amount of $13,300. How much was borrowed at each rate if the amount borrowed at 8% was 4 times the amount borrowed at 12%?

6. Write the system of equations for the information given.

Answer:

7. Write the augmented matrix for the system of equations found in (6).

8. Use the augmented matrix found in (7) to find the value of x, y, and z for the system of equations.

Answer: x = y = z =

9. Find the area of the triangle with vertices (5, 4), (9, 7), and (1,6)

10. Find the value of x so that the following points are collinear:(2, -5), (4, x) , and (5, -2)