Solving a Circuit - Uncover the Concept Missing

[patm95]

Homework Statement

This is the circuit in question. # 31. R1-R3 = 2 Ohms R4=16Ohms R5= 8 Ohms
R6=4Ohms i6=1.4Amps

Homework Equations

V=i*R

The Attempt at a Solution

I see R5 and R6 as being in series, therefore r5*i6=11.2V
r6*i6=5.6V

Then I add them together=16.8V

Since I see the rest of the circuit in Parralel the voltages should be equal to one another so I take 16.8*3=50.4V

The back of the book says 48.3V


Any idea on what concept I may be missing?

Thank You very much in advance.

 

[rl.bhat]

Use branch current formula. If R1 and R2 are in parallel connection with I1 and I2 current, total current = I1 + I2. Then I1 = IR2/(R1 + R2)
Use this formula for each loop and solve for E.