Kirchhoff's rule and multivariable algebra

[FiveAlive]

I'm working on some voltage/current physics problems and I think I understand the concepts however I believe the algebra is holding me back(not my strong point). Could someone make some suggestions how I could solve for at least one of these variables by using a combination of theses three equations?

eq 1) A+B=H

eq 2) A(0.1) + 12 = B(0.01) +14

eq 3) B(0.01) + H(1.20) = 12

I believe that the first step is to expand eq 3 since H=A+B into

B(0.01) + A(1.2) + B(1.2) = 12 but beyond that I am unsure.

thanking you in advance,
Linus

 

[SammyS]

Solve eq 2) for A. Plug that into your last equation

 

[FiveAlive]

Is this what you mean?

A(0.1) + 12 = B(0.01) +14
A= 20+ B(0.1)


Cheers, thanks so much.

 

[SammyS]

Is this what you mean?

A(0.1) + 12 = B(0.01) +14
A= 20+ B(0.1)


Cheers, thanks so much.

Yes.

Now put {20+ B(0.1)} into B(0.01) + A(1.2) + B(1.2) = 12 , in place of A.