SOLUTION: Use determinants to determine the number of solutions for each of the following system. 3x - y = -6 2x = 3y + 2

Algebra ->  College  -> Linear Algebra -> SOLUTION: Use determinants to determine the number of solutions for each of the following system. 3x - y = -6 2x = 3y + 2      Log On


   



Question 262930: Use determinants to determine the number of solutions for each of the following
system.
3x - y = -6
2x = 3y + 2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
|3 -1 -6|
|2 -3 +2|
---------
Det = -9 + 2 = -7
----------
x*Det = -2 -18 = -20
-y*Det = 6 +12 = 18
x = -20/7
y = -18/7
------------
It's 1.