Determine the magnitudes of the currents in each resistor shown in the figure. I

Question

Determine the magnitudes of the currents in each resistor shown in the figure. Ignore internal resistance of the batteries.

Here is a diagram:

http://session.masteringphysics.com/problemAsset/1737885/4/Giancoli7.ch19.p28.jpg

Consider the circuit shown in (Figure 1) . The batteries have emfs of E1=9.0V and E2=12.0V and the resistors have values of R1=28?, R2=60?, and R3=35?.

Can not generate corrrect answer on my own. I came close with answers of .027, .116, .1436 A for I1, I2, I3, but mastering says my first term is off. I set up three equations, using one junction and two loops and did the math.

Any help with explanation would be greatly appreciated

Explanation / Answer

9 = 28(i1-i2) +60i1

88i1 - 28i2 = 9

12 = 35i2 +60i1

solving we get i1 = 0.137, i2 = 0.108

current in top branch = 0.029A left to right

current in middle = 0.137 from right to left

current in bottom = 0.108 from left to right

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