SOLUTION: I really need your help, Using Cramer's Rule, how would you solve this? 2x-y=4 3x+y-z=10 y+z=3

Question 240269: I really need your help, Using Cramer's Rule, how would you solve this?
2x-y=4
3x+y-z=10
y+z=3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Using Cramer's Rule, how would you solve this?
2x-y+0z=4
3x+y-z=10
0x+y+z=3
-------------------
The coefficient matrix is:
2..-1...0
3...1..-1
0...1...1
==================
The determinant of that matrix is D = 2+0+0-(0-2-3) = 7
---------------
The x-matrix is:
4..-1...0
10...1..-1
3...1...1
----
The determinant is Dx = 4+3-(0-4-10) = 21
---
Therefore x = Dx/D = 21/7 = 3
======================================
Form the y-matrix and find its determinant, Dy
Divide Dy by D to get "y".
------------------------------------
Form the z-matrix and find its determinant, Dz
Divide Dz by D to get "z".
=========================================
Cheers.
Stan H.
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