A Kirchhoff problem: Find the currents and voltages in this circuit

[Guillem_dlc]

Homework Statement

In the circuit of the figure, determine the intensities I₁, I₂, I₃, I₄, I₅ and the voltage U_g.

Homework Equations

Superposition and Kirchoff

The Attempt at a Solution

20-10I₁+5I₃-10I₁=0
5I₃+U_g+5I₅=0
20I₂+10I₂-150=0

From the last equation, 30I₂ = 150, I₂ = 5 A

KNOTS:

-10-I₄-5=0 I₄=-15 A

-I₅+(-15)+5=0 I₅=-10 A

System of knot equations of I₃ and I₅ does not work

-10-I₁-I₃=0
I₃+I₁-10=0

I₃=-10-I₁
-10-I₁+I₁-10=0 -20≠0

Here I have stayed, the part of the left is what resists me

 

[BvU]

In the circuit of the figure

 

[Guillem_dlc]

Here it is:

 

[CWatters]

Have you considered rearranging the right hand side of the circuit temporarily?

 

[Guillem_dlc]

Okay I try so, thanks!