SOLUTION: Could tutor please help with this problem? Help would be greatly appreciated! Use Cramer's Rule to solve the system. x-3y+z=-2 x+2y =8 2x-y =1 Thank you for your help

Algebra ->  Matrices-and-determiminant -> SOLUTION: Could tutor please help with this problem? Help would be greatly appreciated! Use Cramer's Rule to solve the system. x-3y+z=-2 x+2y =8 2x-y =1 Thank you for your help      Log On


   

Question 397873: Could tutor please help with this problem? Help would be greatly appreciated!
Use Cramer's Rule to solve the system.
x-3y+z=-2
x+2y =8
2x-y =1
Thank you for your help!
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Use Cramer's Rule to solve the system.
x-3y+z=-2
x+2y =8
2x-y =1
x=d1%2Fd y=d2%2Fd z=d3%2Fd
d=
1 -3 1
1 2 0 =1*2*0+1*1*(-1)+2*0*(-3)-1*2*2-1*(-1)*0-1*(-3)*0=-5
2 -1 0
d1=
-2 -3 1
8 2 0 =0+(-8)+0-2-0-0=-10
1 -1 0
d2=
1 -2 1
1 8 0 =0+1+0-16-0-0=-15
2 1 0
d3=
1 -3 -2
1 2 8 =2+2+(-48)-(-8)-(-8)-(-3)=-25
2 -1 1
x=d1%2Fd=%28-10%29%2F%28-5%29=2 y=d2%2Fd=%28-15%29%2F%28-5%29=3 z=d3%2Fd=%28-25%29%2F%28-5%29=5
x=2
y=3
z=5