SOLUTION: can someone PLEASE help me solve this system: { x+ y-4z=6 {2x-5y+3z=2 { x-6y+7z=-4 thank you so much!

Question 114169: can someone PLEASE help me solve this system:
{ x+ y-4z=6
{2x-5y+3z=2
{ x-6y+7z=-4
thank you so much!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x+ y -4z=6
2x-5y+3z=2
x-6y+7z=-4
---------------
Using the TI-83 Matrix function I find
the determinant of the coefficient matrix
is zero. So there is no solution for this
system of equations.
-------------------
You can see why this happens if you add
equation #1 to equation #3. You get
2x-5y+3 = 2. Therefore the system of
equation is dependent; the three planes
are really just one plane.
--------------------
Cheers,
Stan H.
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