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2017-09-27 00:24:31 +0200 asked a question symbolic equation resolution

Dear all,

I'm discovering sage capabilities and would like to start with a basic exemple : I'd like to remove some unknown variables of an electronic system I started to build to simplify as much as possible the various equations I have.

What I have done is :

sage : var('beta,ipi1,i1,i2,ipi2,ir1,ir2,r,rpi')
sage : solve([beta*ipi1==i1, i2==(beta+1)*ipi2+ipi1, ir1==(beta+1)*ipi1, ir2==(beta+1)*ipi2, r*ir2+rpi*ipi2==r*ipi1+rpi*ipi1],i1

I would like to get i1 depending on the "known" variables of the system : i2, r and beta. But Sage is answering [ ]. What am I doing wrong?

Thanks to you who will take your time to answer !