MATLAB: How to solve 3 equation 2 variable system

equationgenetic algorithmMATLABsymbolicsystemvariablevariables

I'm trying to solve these equations:
((((4330-4158)*0.000173-0)*x)+(((4330-4158)*0.000173-0)^(2)*y))28316.85=4.09945
((((4340-4158)*0.000173-0)*x)+(((4340-4158)*0.000173-0)^(2)*y))28316.85=4.1565
((((4513-4158)*0.000173-0)*x)+(((4513-4158)*0.000173-0)^(2)*y))28316.85=7.6936
But when I go with
[x y]=solve('((((4330-4158)*0.000173-0)*x)+(((4330-4158)*0.000173-0)^(2)*y))28316.85=4.09945', '((((4340-4158)*0.000173-0)*x)+(((4340-4158)*0.000173-0)^(2)*y))28316.85=4.1565', '((((4513-4158)*0.000173-0)*x)+(((4513-4158)*0.000173-0)^(2)*y))28316.85=7.6936')
I get and error message about my solve argumentL –> Check for missing argument or incorrect argument data type in call to function 'solve'.

Best Answer

Have you tried a linear algebra approach for solving an overdetermined system?
b = [4.09945; 4.1565; 7.6936]./28316.85;
A = [((4330-4158)*0.000173-0)    ((4330-4158)*0.000173-0)^2;
     ((4340-4158)*0.000173-0)    ((4340-4158)*0.000173-0)^2;
     ((4513-4158)*0.000173-0)    ((4513-4158)*0.000173-0)^2];
c = A\b % x=c(1), y=c(2)
c = 2×1
    0.0051
   -0.0110

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btw, your expressions are missing a "*" before the 28316.85.
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