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understanding nodal analysis

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Camden maziarz

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I am having trouble analysing this circuit because there is no resistor in the position of Va. Would the first equation be (1/R1+1/R2)E1-(1)E2=15? I am confused because there is no resistance for the first equation that is associated with the second voltage supply.Would I use the number 1 in place of the secondary resistance because it is unknown?

Picture of circuit attached
 

There are only one unknown voltage (Va) --> Only one equation.

Va*(1/R1+1/R2+1/R3+1/R4) = E1/R1+E2/R4

--> Va = (E1/R1+E2/R4)/(1/R1+1/R2+1/R3+1/R4)
 
Thank you now it makes much more sense. All the examples I looked at had a resistor in the Va position.
 

Camden maziarz said:
Thank you now it makes much more sense. All the examples I looked at had a resistor in the Va position.
Click to expand...

Perhaps it helps when you try to realize that R2 and R3 can be replaced by one single resistor RX=R2||R3 between the node Va and ground.
 

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