Solve Kirchoff's Equations Homework | Ohm's Law

[jedjj]

Homework Statement

Write six equations using the unknown currents I1, I2, etc.

Circuit included as attachment.

Homework Equations

Ohm's law

The Attempt at a Solution

So I1, and I3 are fairly straightforward.
I_{1}=\frac{X}{R_{1}}
and
I_{3}=\frac{X}{R_{3}}

Now I get confused. Because the voltage divides, I am unsure of how to attain the equations for the remaining currents without using the mesh current method.

Thank you for the help.

Edit, and now I realize that I3 is not X/R3, but rather I3=I1, but my confusion still stands about the best way to retrieve 6 equations.

 

[Redbelly98]

Perhaps they want you to use Kirchoff's laws, as suggested by the problem title?

Hint: Kirchoff's laws involve the various loops and nodes within the circuit.