How do you solve the following linear system: $u + v + w = 2, u + 2 v + 3 w = 1, v + 2 w = 0$ $u + v + w = 2, u +2v +3w = 1, v +2w = 0$ ?

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Answer 1 · 2016-04-19T21:25:58

This system has no solution...

This system is inconsistent.

If you subtract the first equation from the second you get:

$v + 2 w = - 1$ $v+2w = -1$

which is inconsistent with the third equation.

So this system of equations has no solution.

How do you solve the following linear system: u+v+w=2,u+2v+3w=1,v+2w=0u + v + w = 2, u +2v +3w = 1, v +2w = 0 ?