SOLUTION: I need help in solving a system of linear equations. I need to find the solution for each variable, but I have no idea how to solve a problem like this with the variables as the d

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I need help in solving a system of linear equations. I need to find the solution for each variable, but I have no idea how to solve a problem like this with the variables as the d      Log On


   

Question 971543: I need help in solving a system of linear equations.
I need to find the solution for each variable, but I have no idea how to solve a problem like this with the variables as the denominators.
2/x-2/y+1/z=-1
4/x+1/y-2/z=-9
1/x+1/y-3/z=-9
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing it for you, I'll just tell you how so you
can do it yourself:

system%282%2Fx-2%2Fy%2B1%2Fz=-1%2C4%2Fx%2B1%2Fy-2%2Fz=-9%2C1%2Fx%2B1%2Fy-3%2Fz=-9%29

Let u=1%2Fx, v=1%2Fy, w=1%2Fz

Then the system will not have variables in the denominator,
for the system will be:

system%282u-2v%2Bw=-1%2C4u%2Bv-2w=-9%2Cu%2Bv-3w=-9%29

You can solve that and get the values for u, v, and w,

Then substitute those values for u,v, and w into

u=1%2Fx, v=1%2Fy, w=1%2Fz

and them to find x, y, and z.

Edwin