Determine the values for x y and z following equations.
2x+3y-z=5
4x-y-z=-1
x+4y+z=12

If we add the last two equations we get

If we add the first and the last equations we get

Solving these two equations simultaneously you will get
x=1 and y=2
Putting these two values back into any of the equations given (i will use the third equation in this case), we get

Therefore

So x=1, y=2 and z=3.
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