What is the current distribution in a circuit with complex resistors?

[mitsuruangel]

Homework Statement

Five resistors with resistance R1 = 4.90 Ω, R2 = 7.30 Ω, R3 = 8.80 Ω, R4 = 2.70 Ω, R5 = 5.00 Ω, are connected to a battery with emf E = 8 V in the circuit shown. What is the current in resistor R1?
I also need the current through all other resistors. I know you need to use the loop rule and solve for each unknown but I can't seem to get any of them. I don't know if I'm doing my math wrong or what but it is getting very frustrating.
The red arrows are the current arrows I am trying to work with

Homework Equations

1)I₁=I₅+I₂=0
2)I₄=I₃+I₅=0
3)V-I₁R₁-I₂R₂=0
4)V-I₃R₃-I₄R₄=0
5)V-I₁R₁-I₅R₅-I₄R₄=0
6)V-I₃R₃+I₅R₅-I₂R₂=0
7)I₃R₃-I₁R₁-I₅R₅=0
8)I₅R₅-I₂R₂+I₃R₃=0

The Attempt at a Solution

I have tried solving for each but I get lost in the rearranging
Any help would be awsome...or maybe some easier way to go about it?

 

[berkeman]

Homework Statement

Five resistors with resistance R1 = 4.90 Ω, R2 = 7.30 Ω, R3 = 8.80 Ω, R4 = 2.70 Ω, R5 = 5.00 Ω, are connected to a battery with emf E = 8 V in the circuit shown. What is the current in resistor R1?
I also need the current through all other resistors. I know you need to use the loop rule and solve for each unknown but I can't seem to get any of them. I don't know if I'm doing my math wrong or what but it is getting very frustrating.

Welcome to the PF. You need to show us your work before we can help you. Show us the loop equations that you have been working with and having problems. We cannot help you (per the PF Rules link at the top of the page) unless you show us some work.

Also, I generally prefer to use the KCL node equations instead of the KVL loop equations. Maybe try it both ways to see if you like one way better.

 

[mitsuruangel]

We were not shown the KCL node equations