Assignment 15

1. Solve

a. x + y = 3, 2x – y = 1

b. 3x + 2y = 6, x = 3

c. 2x + y = 4, y = -2x + 1

d. x – 3y = 6, 2x – y =1

2. Solve

a. x + y + z = 2, x – y + z = 3, x + y + 2z = 0

b. 5x + y – 2z = 2, x + 2y + 3z = 2, 2x – y = 3

3. For which value(s) of C does the following system have a solution? What is the solution?

a. x + y + z = 3, x – y + z = 1, 3x + y + 3z = C

4. Find the a, b, c so that y = ax² + bx + c goes through the given points.

a. (1, 3), (2, 5), and (3, 1)

b. (-1, -2), (1, -1), and (3, 10)

5. A plane travels 3000 km in 3 hours with a tail wind, and in 4 hours with a head wind. Find the speed of the plane and of the wind.