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Three non parallel planes intersecting in a line - a 3 by 3 system with many solutions.
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This sequence of graphics illustrates the solution of the 3x3 system
2x - y + z = 5
x + y - z = 2
3x - 3y + 3z= 8
Each plane is drawn separately, then the intersection of planes one and two is shown, followed by the intersection of planes one and three. The final graphic in the sequence illustrates all three planes intersecting in the line
x = 7/3
y = t - 1/3
z = t
This solution can be found using row operations on the system's augmented matrix.
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% End of Graphics
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