Mesh Current Analysis for Determining I1, I2, and I1 + I2 in a Network

[shaltera]

Use mesh-current analysis to determine currents I1, I2 and I1 + I2 for the network shown.My calculation so far:

Mesh A: v₁+v₂=12∠0⁰
Mesh B: -v₂+v₃=-10∠0⁰

v₁=i₁R_A=(47Ω)i_A
v₂=i_AR₂=R₂(i_A-i_B)=(j100Ω)(i_A-i_B)
v₃=i_BR₃=(-75j)i_B

Mesh A: (47Ω)i_A+(j100Ω)(i_A-i_B)=12∠0⁰
Mesh B: -(j100Ω)(i_A-i_B)+(-75j)i_B=-10∠0⁰

I'm stuck

 

[Kavik]

Have you tried distributing j100 Ohm and -j100 Ohm and then combining like terms?