Linear Equations with Three Variables

8) Solve the system of linear equations.

• (3, -1, 1)

• (-3, -1, -1)

• no solution

• infinitely many solutions

1) Solve the system of linear equations.

• (-1, 5, 2)

• (1, -5, -2)

• no solution

• infinitely many solutions

2) Solve the system of linear equations.

• (-1, 1, 2)

• (2, 1, -1)

• no solution

• infinitely many solutions

3) Solve the system of linear equations.

• (3, 1, -5)

• (-3, 1, -1)

• no solution

• infinitely many solutions

What is the value of z in the solution of the system?

Mathematical Equivalence

ON

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

4) Solve the system of linear equations.

• (1, -3, -4)

• (-1, 3, -4)

• no solution

• infinitely many solutions