SOLUTION: Solve and check 4/x + 1/y + 2/z =4 2/x + 3/y - 1/z =1 1/x + 1/y + 1/z =4

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Question 1049713: Solve and check
4/x + 1/y + 2/z =4
2/x + 3/y - 1/z =1
1/x + 1/y + 1/z =4
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If there was a solution, we could use the change of variables
system%28X=1%2Fx%2CY=1%2Fy%2CZ=1%2Fz%29 <--->system%28x=1%2FX%2Cy=1%2FY%2Cz=1%2FZ%29 ,
solve the system of equations system%284X%2BY%2B2Z=4%2C2X%2B3Y-Z=1%2CX%2BY%2BZ=4%29 ,
finding non-zero values for X , Y , and Z ,
and change variables back to find x , y , and z .
Solving the system above we luckily find non-zero values for the variables,
system%28X=-1%2CY=2%2CZ=3%29 , so highlight%28system%28x=-1%2Cy=1%2F2%2Cz=1%2F3%29%29 .