Kirchoff's Laws for Currents in a Circuit

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Homework Statement


Determine the magnitudes and directions of the currents through each resistor shown in Fig. 19-38. The batteries have emfs of [PLAIN]http://www.webassign.net/images/scriptE.gif1 = 9.0 V and [PLAIN]http://www.webassign.net/images/scriptE.gif2 = 17.0 V and the resistors have values of R1 = 15 [PLAIN]http://www.webassign.net/images/omegacap.gif, R2 = 20 [PLAIN]http://www.webassign.net/images/omegacap.gif, andR3 = 34[PLAIN]http://www.webassign.net/images/omegacap.gif.

Homework Equations


Kirchoff's Loop Rule: I1+I2+I3=0
Kirchoff's Series Law?: V1+V2+V3=0

The Attempt at a Solution


I've actually gotten the direction for all three, I just need some serious help calculating the magnitudes.
Circuit schematic with two batteries labeled E1 and E2 on the left, and resistors R1, R2 and R3 arranged across the branches.
 
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