Answer:
Vo = 4.5 [V]
Explanation:
In order to calculate this Vo voltage, we must first calculate the current through the entire circuit. For this, we perform a sum of voltages equal to zero.
ΣV = 0
[tex]-9 +6*I+2*I+3 =0\\-6+8*I=0\\I = 6/8\\I=0.75[amp][/tex]
We again perform a sum of voltages equal to zero but this time we do not include the voltage source of 3V as well as the resistance of 2[ohm]. It is as if the circuit is open between the ports of Vo.
ΣV = 0
[tex]V_{o}-9+(6*0.75) = 0\\\\V_{o} = 4.5 [V][/tex]
