# Complex numbers Simultaneos Eqn

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1. Nov 23, 2014

### kukumaluboy

1. The problem statement, all variables and given/known data
1) 2w+iz = 3; 2) (3-i)w - z = 1 +3i
2wi - z = 3i; 3w - iw - z = 1 + 3i

Substract (2) from (1):

2wi - z - (3w-iw-z) = 3i - (1+3i)
2wi -3w +iw = -1
3iw - 3w = -1
3w(i-1) = -1
3w = -1/(i-1) = -0.5i - 0.5
w = -i/6 - 1/6

But the answer is i/6 + 1/6 for W

2. Nov 23, 2014

### Ray Vickson

$1/(i-1) = -(1/2)-(1/2)\,i$, so what is $-1/(i-1)$?

3. Nov 23, 2014

### kukumaluboy

THANKS!
*That feeling when you admit the book is not wrong =/ *

Last edited by a moderator: Nov 25, 2014