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

Apr 19, 2016

This system has no solution...

#### Explanation:

This system is inconsistent.

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

$v + 2 w = - 1$

which is inconsistent with the third equation.

So this system of equations has no solution.