How do you solve the system #x-y-z=2#, #2x+y+z=8#, and #x+y+z=6#?
1 Answer
This set of equations can not be solved.
Explanation:
Given
[1]
[2]
[3]
Note that adding equations [1] and [2] together, we get
But adding equations [1] and [3] together, gives us
Since
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Since this was asked under "Solving a System of Equations Using a Matrix"
if you need the matrix version of this, here it is (using Gaussian elimination)
Augmented matrix:
The value in the pivot position for
has become