I have attached a picture of a circuit. I am trying to find the values of I(adsbygoogle = window.adsbygoogle || []).push({}); _{1}, I_{2}, and I_{3}. What I have come up with so far, using Kirchhoff's Voltage and Junction Laws is:

I_{2}=I_{1}+I_{3}

for the left loop:

9V - (5 ohms)I_{1}-4V - (10 ohms)I_{2}= 0

which simplifies to:

1V - (1 ohm)I_{1}- (2 ohms)I_{2}= 0

for the right loop:

14V - (10 ohms)I_{3}-4V - (10 ohms)I_{2}= 0

which simplifies to:

1V - (1 ohm)I_{3}- (1 ohm)I_{2}= 0

I am pretty certain that I have these correct, but I can't seem to solve my system of equations--whenever I try to add or subtract the equations, several terms cancel, leaving me with a current equaling zero.

I would really appreciate some help. Thank you. :!!)

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# Using Kirchhoff's Laws to find current in a circuit

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