Question 102281
 x  – 2y    0z  =  4  
2 x – 3 y + 2 z = – 2 
4 x – 7 y + 2 z = 6
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x = 2y+4
Substitute to get:
2(2y+4)-3y+2z = -1
4(2y+4)-7y+2z = 6
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Simplify:
x = 2y+4
y + 2z = 9
y + 2z = -2
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The last two equations indicate the system is inconsistent.
Two of the equations represent parallel planes.
There is no intersection of the three planes represented
by the original three equations.
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Cheers,
Stan H.