http://www.ck12.org Chapter 8. Systems and Matrices
- Show that the following system is dependent:
2 x− 2 y+z= 5
6 x+y− 3 z= 2
4 x+ 3 y− 4 z=− 3- Solve the following system of equations:
4 x+y+z= 15
− 2 x+ 3 y+ 4 z= 38
−x−y+ 3 z= 16- Solve the following system of equations:
3 x− 2 y+ 3 z= 6
x+ 3 y− 3 z=− 14
−x+y+ 5 z= 22- Solve the following system of equations:
3 x−y+z=− 10
6 x− 2 y+ 2 z=− 20
−x−y+ 4 z= 12- Solve the following system of equations:
x− 3 y+ 6 z=− 30
4 x+ 2 y− 3 z= 18
− 8 x− 3 y+ 2 z=− 22- Solve the following system of equations.
x+ 2 y+ 2 z+w= 5
2 x+y+ 2 z− 0 w= 5
3 x+ 3 y+ 3 z+ 2 w= 12
x+ 0 y+z+w= 1A parabola goes through (3, -9.5), (6, -32), and (-4, 8).
- Write a system of equations that you could use to solve to find the equation of the parabola. Hint: Use the
general equation Ax^2 +Bx+C=y.