Using Kirchoff's laws to find current in complex circuit

[NihalRi]

Homework Statement

Homework Equations

V=IR and kirchhoffs laws

The Attempt at a Solution

Number three is my attempt at finding a solution but I got stuck when I had to find an expression for loop one on the diagram. Thanks in advance for your help

https://www.physicsforums.com/attac...7/?temp_hash=33c1cfe87b4a06969362558ec51465bc[/B]

 

[Simon Bridge]

Image too faint to read - which loop did you have trouble with? - please type out the attempt.
A trick to getting the loop sums right is to put potential diffrerence arrows on all voltage sources and resistors. The PD goes negative to positive for batteries, and goes opposite the labelled current for resistors.
When you traverse a loop, add the arrows you go in the same direction with and subtract the others.