How Do You Solve a Basic KVL Circuit Problem?

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http://imageshack.us/a/img585/9687/kvlf.jpg

the work i did on that sheet is completely wrong.

I know that Ic = Ia + Ib

but can someone help me set up the equations for the two loops please! I can't seem to figure it out and its frustrating me!

the answer is supposed to be Ic = (RbE1 + RaE2) / RaRb + RaRc + RbRc
 
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nchin said:
http://imageshack.us/a/img585/9687/kvlf.jpg

the work i did on that sheet is completely wrong.

I know that Ic = Ia + Ib

but can someone help me set up the equations for the two loops please! I can't seem to figure it out and its frustrating me!

the answer is supposed to be Ic = (RbE1 + RaE2) / RaRb + RaRc + RbRc
attachment.php?attachmentid=57492&stc=1&d=1365133690.jpg


Write the KVL equation for the "left loop".

Write the KVL equation for the "right loop".

Write the KCL equation for either junction.
 

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thanks i just figured it out. this is just an intense algebra problem!