A circuit is constructed with six resistors and two batteries as shown. The battery voltages are V1 = 18 V and V2 = 12 V. The positive terminals are indicated with a + sign, The values for the resistors are: R1 = R5 = 56 Ω, R2 = R6 = 157 Ω R3 = 118 Ω, and R4 = 97 Ω. The positive directions for the currents I1, I2 and I3 are indicated by the directions of the arrows. What is V4?
The Attempt at a Solution
I have been trying to apply Kirchoff's laws for junctions and loops.
I picked 2 loops and got the following equations-
I4R4 +I6R6 = V2
R5I5 + R4I4 + R6I6 + R2I2 + R3I3 = V1
From the junction rule, I got that I1 + I3 = I5 = I2
I'm not sure if this is right though- I5 = I2 = I4 = I6
I don't know what to do next. I think I need another equation.