You will write the characteristic equations for each node by applying KCL and

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You will write the characteristic equations for each node by applying KCL and

You will write the characteristic equations for each node by applying KCL and assuming all currents are leaving the nodes.
You will solve the simultaneous equations to calculate the node voltages. And then calculate the current in each resistor, if needed.
You will need to connect your measuring instruments as shown below to measure the node voltages and verify your calculations.
Your step by step calculations of the node voltages using Node Voltage Analysis