SOLUTION: x-3y=6 3x+y=-22 its using cramer's rule i've tried to work the problem but i jus keep getting 46 and 40

Algebra ->  Matrices-and-determiminant -> SOLUTION: x-3y=6 3x+y=-22 its using cramer's rule i've tried to work the problem but i jus keep getting 46 and 40      Log On


   

Question 215965: x-3y=6
3x+y=-22
its using cramer's rule
i've tried to work the problem but i jus keep getting 46 and 40
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
x-3y=6
3x+y=-22
.
coefficient matrix:
1 -3
3 1
Det of coefficients: (1-(-9)) = 10
.
x-matrix
6 -3
-22 1
Detx: 6 - 66 = -60
.
y-matrix
1 6
3 -22
Dety: -22 - 18 = -40
.
x = Detx/Detcoef = -60/10 = -6
y = Dety/Detcoef = -40/10 = -4
.