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Solve the following system of equations and give a geometrical interpretation of the result.

x + y + z = 6
2x + y − 3z = -5
4x − 5y + z = −3

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x+y+z=6
2x+y-3z=-5

x-4z=-11

2x+y-3z=-5
10x+5y-15z=-25
4x-5y+z=-3
14x-14z=-28
x-z=-2
x-4z=11
3z=-13
z=-13/3
x+13/3=-2
x=-19/3
y-19/3-13/3=6
y=50/3

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