Solving 3 variable systems of equations with no or infinite solutions

Lessons

1. System of Equations With No Solution

   Solve the following system of equations:

   $2x - 3y + z = 3$

   $6x - 12y + 4z = 8$

   $-3x + 6y - 2z = 6$

2. System of Equations With Infinite Solutions

   Solve the following system of equations:

   $x + 6y - 7z = -2$

   $2x + 12y - 14z = -4$

   $4x + 24y - 28z = -8$

3. System of Equations With Infinite Solutions - Extended

   Solve the following system of equations:

   $x - 2y + z = 3$

   $3x - 6y + 3z = 9$

   $2x + 5y - z = -6$