MATLAB: How to solve this complex 4 equation with 4 unknowns

4 equations 4 unknown

Hello,
I am having a very hard time solving for the following 4 equations with 4 unknonws.
269.0 = R1*(R2+R3+R4)/(R1+R2+R3+R4)
267.8 = R2*(R1+R3+R4)/(R1+R2+R3+R4)
265.8 = R3*(R1+R2+R4)/(R1+R2+R3+R4)
267.3 = R4*(R1+R2+R3)/(R1+R2+R3+R4)
I was able to narrow it down to:
R4=267.3(R1+R2+R3)/(R1+R2+R3-267.3)
R3=265.8(R1+R2+R4)/(R1+R2+R4-265.8)
R2=267.8(R1+R3+R4)/(R1+R3+R4-267.8)
R1=269.0(R2+R3+R4)/(R2+R3+R4-269.0)
How do I solve for R1 R2 R3 and R4 using matlab? I tried the following code but I don't think it's giving me the right answer:
[R1,R2,R3,R4]=solve('R1=269.0(R2+R3+R4)/(R2+R3+R4-269.0)','R2=267.8(R1+R3+R4)/(R1+R3+R4-267.8)','R3=265.8(R1+R2+R4)/(R1+R2+R4-265.8)','R4=267.3(R1+R2+R3)/(R1+R2+R3-267.3)','R1','R2','R3','R4')

Best Answer

equ1='269.0-R1*(R2+R3+R4)/(R1+R2+R3+R4)'
equ2='267.8-R2*(R1+R3+R4)/(R1+R2+R3+R4)'
equ3='265.8- R3*(R1+R2+R4)/(R1+R2+R3+R4)'
equ4='267.3 - R4*(R1+R2+R3)/(R1+R2+R3+R4)'
sol=solve(equ1,equ2,equ3,equ4)
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