Question 1043605
I am to use Cramers rule to solve the system: 

x -z=4
6y-z=-19
2x+3y=1 
Find the determinates [sic]:
----
<re>
|1  0 -1  4|
|0  6 -1 -19|
|2  3  0  1|
</re>
==============
Det = 1*(6*0 - 3*-1) - 0*() - 1*(0*3 - 2*6) = 3 + 12 = 15
----
Dx = 0*() + 1*(6*1 - 3*-19) + 4*(6*0 - 3*-1) = 63 + 12 = 75
----
-Dy = 1*(-1) +1*(0+38) + 4*(0+2) = -1 + 38 + 8 = 45
----
Dz = 1*(6*1 - 3*-19) - 0*() + 4*(0 - 2*6) = 63 -48 = 15
---
x = 5
y = -3
z = 1
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It's tedious and you have to be careful, but not hard.