Circuit with 2 voltage sources and 1 current source

[ichabodgrant]

Here is the circuit. I have to find the voltage across each resistor and the current i1 and i2.
My attempts are the following:

By KCL,
i₂ + i₁ = 0.1 A

By KVL,
3 - 5 - 100i₁ + 1100i₂ = 0

∴ i₁ = 0.09 A, i₂ = 0.01A
∴ Voltage across 100Ω resistor = 0.09 × 100 = 9 V, voltage across 1100Ω resistor = 0.01 × 1100 = 11 V

Are there any mistakes?

 

[Svein]

Seems OK.

 

[Dhruv]

Correct.

 

[ichabodgrant]

Thank you very much.