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**1. The problem statement, all variables and given/known data**

For a Lab report I have to solve for three unknown currents from Kirchoff's Rules equations using simultaneous equation algebra, and I'm completely stumped.

**2. Relevant equations**

From Loop and junction equations, the three equations that I have are

I

_{1}+ I

_{2}= I

_{3}

I

_{1}= (-I

_{3}R

_{3}- V

_{2})/ (R

_{2})

I

_{2}= (-I

_{3}R

_{3}+V

_{1})/(R

_{1})

**3. The attempt at a solution**

This is the farthest I have gotten, solving for I

_{3}. Once I have expression for this I will be able to plug back into the I

_{1}and I

_{2}equations fairly easy.

(-I

_{3}R

_{3}R

_{2}+ -I

_{3}R

_{3}R

_{1}+ -V

_{2}R

_{1}) / (R

_{1}R

_{2})

= I

_{3}R

_{1}R

_{2}

Sorry If this is confusing. Thanks for any help in advance.

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