Systems in Three Variables

Solve the system.

• (5, -6, 3)

• (5, 3, -1)

• (5, -6, 5)

• No Solution

1) Solve the system of linear equations.

• (-1, 5, 2)

• (1, -5, -2)

• no solution

• infinitely many solutions

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

4) Solve the system of linear equations.

• (1, -3, -4)

• (-1, 3, -4)

• no solution

• infinitely many solutions

5) Solve the system of linear equations.

• (1, 0, -1)

• (-2, 1, 0)

• no solution

• infinitely many solutions

6) Solve the system of linear equations.

• (2, 2, 4)

• (2, 1, 7)

• no solution

• infinitely many solutions

7) Solve the system of linear equations.

• (3, -1, -4)

• (-3, 1, 4)

• no solution

• infinitely many solutions

8) Solve the system of linear equations.

• (3, -1, 1)

• (-3, -1, -1)

• no solution

• infinitely many solutions

How confident do you feel solving linear systems in three variables?

• Very confident, and could help a friend.

• Fairly confident, but would like more practice

• Somewhat confident, but have some questions

• Not confident yet, and would like some help

2) Solve the system of linear equations.

• (-1, 1, 2)

• (2, 1, -1)

• no solution

• infinitely many solutions