In[]:=
Solve[z1+Sin[ϵ]*z2+Cos[θ]*z3-z4-z50&&Cos[ϵ]*z2-Sin[θ]*z3-z6+z70&&-g*z2-a*z3+n*z4+s*z5+m*z7==0&&(s+y)*z1-v*z2+w*z4-y*z5+(m+x)*z6-x*z7==0,{z1,z2,z3,z6}]
Out[]=
z1-(-avz4-avz5+amz4Cos[ϵ]+axz4Cos[ϵ]+amz5Cos[ϵ]+axz5Cos[ϵ]+nvz4Cos[θ]-gwz4Cos[θ]+svz5Cos[θ]+gyz5Cos[θ]-gmz7Cos[θ]+mvz7Cos[θ]-mnz4Cos[ϵ]Cos[θ]-nxz4Cos[ϵ]Cos[θ]-msz5Cos[ϵ]Cos[θ]-sxz5Cos[ϵ]Cos[θ]-z7Cos[ϵ]Cos[θ]-mxz7Cos[ϵ]Cos[θ]+awz4Sin[ϵ]-ayz5Sin[ϵ]+amz7Sin[ϵ]+gmz4Sin[θ]+gxz4Sin[θ]+gmz5Sin[θ]+gxz5Sin[θ]-mnz4Sin[ϵ]Sin[θ]-nxz4Sin[ϵ]Sin[θ]-msz5Sin[ϵ]Sin[θ]-sxz5Sin[ϵ]Sin[θ]-z7Sin[ϵ]Sin[θ]-mxz7Sin[ϵ]Sin[θ])(av-amCos[ϵ]-axCos[ϵ]-gsCos[θ]-gyCos[θ]+asSin[ϵ]+aySin[ϵ]-gmSin[θ]-gxSin[θ]),z2-((-a(-wz4-(-s-y)(-z4-z5)+yz5+xz7-(m+x)z7)-(nz4+sz5+mz7)(-(-s-y)Cos[θ]+(m+x)Sin[θ]))/(-a(v-(m+x)Cos[ϵ]-(-s-y)Sin[ϵ])+g(-(-s-y)Cos[θ]+(m+x)Sin[θ]))),z3-(gsz4-nvz4+gwz4+gyz4+gsz5-svz5+gmz7-mvz7+mnz4Cos[ϵ]+nxz4Cos[ϵ]+msz5Cos[ϵ]+sxz5Cos[ϵ]+z7Cos[ϵ]+mxz7Cos[ϵ]-nsz4Sin[ϵ]-nyz4Sin[ϵ]-z5Sin[ϵ]-syz5Sin[ϵ]-msz7Sin[ϵ]-myz7Sin[ϵ])(av-amCos[ϵ]-axCos[ϵ]-gsCos[θ]-gyCos[θ]+asSin[ϵ]+aySin[ϵ]-gmSin[θ]-gxSin[θ]),z6-(-avz7-asz4Cos[ϵ]-awz4Cos[ϵ]-ayz4Cos[ϵ]-asz5Cos[ϵ]+axz7Cos[ϵ]+gsz7Cos[θ]+gyz7Cos[θ]+nsz4Cos[ϵ]Cos[θ]+nyz4Cos[ϵ]Cos[θ]+z5Cos[ϵ]Cos[θ]+syz5Cos[ϵ]Cos[θ]+msz7Cos[ϵ]Cos[θ]+myz7Cos[ϵ]Cos[θ]-asz7Sin[ϵ]-ayz7Sin[ϵ]-gsz4Sin[θ]+nvz4Sin[θ]-gwz4Sin[θ]-gyz4Sin[θ]-gsz5Sin[θ]+svz5Sin[θ]+mvz7Sin[θ]+gxz7Sin[θ]+nsz4Sin[ϵ]Sin[θ]+nyz4Sin[ϵ]Sin[θ]+z5Sin[ϵ]Sin[θ]+syz5Sin[ϵ]Sin[θ]+msz7Sin[ϵ]Sin[θ]+myz7Sin[ϵ]Sin[θ])(av-amCos[ϵ]-axCos[ϵ]-gsCos[θ]-gyCos[θ]+asSin[ϵ]+aySin[ϵ]-gmSin[θ]-gxSin[θ])
2
m
2
m
2
m
2
s
2
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2
s
In[]:=
Solve[z1+Sin[ϵ]*z2+Cos[θ]*z3-z4-z5-z8*Sin[θ]==0&&Cos[ϵ]*z2-Sin[θ]*z3-z6+z7-z8*Cos[θ]==0&&-g*z2-a*z3+n*z4+s*z5+m*z7-z8*c==0&&(s+y)*z1-v*z2+w*z4-y*z5+(m+x)*z6-x*z7==0&&z3*μ-z8==0,{z1,z2,z3,z6,z8}]
Out[]=