# How to find Vo in a circuit with two voltage sources

I do not know how to find Vo in this circuit. According to my notes about how to take node voltage, I get

0 = Va + 6.857 V + 0V

Vo = Va

But that doesn't sound right. And I get a different answer using mesh, then using

Vo = V Across the 4k resistor

I would really appreciate the help! Thank you!

• Hint: one of your sources is connected directly across $v_o$, so nothing else in the circuit matters. – The Photon Sep 28 '19 at 2:21
• Also, you give an equation using the term $v_a$, but you never said what $v_a$ represents. If we knew that, we might be able to point out where you went wrong. – The Photon Sep 28 '19 at 2:22