# Solving 3 variable systems of equations (no solution, infinite solutions)

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Examples

**System of Equations With No Solution**Solve the following system of equations:

$2x - 3y + z = 3$

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

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

**System of Equations With Infinite Solutions**Solve the following system of equations:

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

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

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

**System of Equations With Infinite Solutions - Extended**Solve the following system of equations:

$x - 2y + z = 3$

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

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