SOLUTION: 2w+x-3y+z=4 w-3x+y+z=32 -w+2x+2y-z=-10 w+x-y+3z=14

Algebra ->  Systems-of-equations -> SOLUTION: 2w+x-3y+z=4 w-3x+y+z=32 -w+2x+2y-z=-10 w+x-y+3z=14      Log On


   

Question 367876: 2w+x-3y+z=4
w-3x+y+z=32
-w+2x+2y-z=-10
w+x-y+3z=14
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%284%2C4%2C2%2C1%2C-3%2C1%2C1%2C-3%2C1%2C1%2C-1%2C2%2C2%2C-1%2C1%2C1%2C-1%2C3%29%29
[x]=%28matrix%284%2C1%2Cw%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%284%2C1%2C4%2C32%2C-10%2C14%29%29
.
.
det[A]=6
[A]inv=
.
.
.
[x]=%28matrix%284%2C1%2C79%2F3%2C25%2C-53%2F3%2C-80%2F3%29%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2w+x-3y+z=4
w-3x+y+z=32
-w+2x+2y-z=-10
w+x-y+3z=14
-------------
Using determinants on an Excel sheet:
Det = -42
----------
w = -456/-42 = 76/7
x = 150/-42 = -25/7
y = -258/-42 = 43/7
z = -180/-42 = 30/7