# Using Cramer's Rule with a 3x3 System

Using Cramer's Rule with a 3x3 system

3x+4y+z=17

2x+3y+2z=15

x+y =4

https://brainmass.com/math/derivatives/using-cramer-s-rule-with-a-3x3-system-4627

#### Solution Preview

By using Cramer's Rule, we should rewrite the system into:

3x+4y+1*z=17

2x+3y+2z=15

1*x+1*y+0*z =4

then the determinant is:

|3 4 1|

D = |2 3 2| ...

#### Solution Summary

A system of equations is solved using Cramer's Rule.

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