SOLUTION: How do I solve this system of equations using the determinant of a matrices. Not the inverse rule. 2z-5w=-5, 6w+7z=10 use a determinant matrix to solve the system of equations

Question 854257: How do I solve this system of equations using the determinant of a matrices. Not the inverse rule.
2z-5w=-5,
6w+7z=10
use a determinant matrix to solve the system of equations.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2z-5w=-5,
6w+7z=10
-------------
5w - 2z = 5
6w + 7z = 10
---------
|5 -2 -5|
|6 +7 -10|
-----
Det = 5*7 - 6*-2 = 47
------
w*Det:
|-2 -5|
|7-10|
= 20 + 35 = 55
w = 55/47
==========================
-z*Det:
|5 -5|
|6 -10|
= -50 + 30 = -20
z = 20/47

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