You can
put this solution on YOUR website!x+ y -4z=6
2x-5y+3z=2
x-6y+7z=-4
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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.
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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.
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Cheers,
Stan H.