# Solving 3 variable systems of equations by substitution

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##### Intros
###### Lessons
1. How to Solve Three Variable Systems of Equations?
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##### Examples
###### Lessons
1. Solving Three Variable Systems of Equations – (Easy)

Solve the following system of equations by substitution:

$2x + 3y + 4z = 0$

$2y + 3z = 23$

$z = 5$

1. Solving Three Variable Systems of Equations – (Medium)

Solve the following system of equations by substitution:

$3x - 5y + z = 0$

$x - 2y - z = 0$

$z = -2$

1. Solving Three Variable Systems of Equations – (Hard)

Solve the following system of equations by substitution:

$15x + 7y - 6z = -9$

$5x - 3y + 6z = 13$

$z = 4$