symsolvesimulv2.m can be easily adapted to solve more equations but as it stands it will solve 2 unknowns in 2 non-linear equations (can be linear too or a mixture).

Big change: It now has data input integrity checking.

At the MATLAB command-line prompt you run the 'symsolvesimulv2' m-file function with the correct vector arguments i.e. exponents, coefficients and constants in the equations in the appropriate order.

>> help symsolvesimulv2
solves a system (a pair) of non-linear or linear equations or a mixture,
returning a n x 2 column solution vector for x and y. The first parameter
is a row vector (1 x 4) of exponents used in both equations. An exponent
of one for both terms indicates a linear equation. The second parameter
(1 x 6) is also a row vector of all the coefficients and the constants
used in both equations. The order of both vector's elements is critical.
Note that there may be more than 1 solution for x and y (sometimes
complex)
and that they are presented in a symbolic format at times rather than a
pure numeric format.

USAGE: symsolvesimulv2([ex1 ex2 ex3 ex4],[a b a1 b1 c1 c2])
a*x^ex1 + b*y^ex2 = c1 (1)
a1*x^ex3 + b1*y^ex4 = c2 (2)
i.e.
>> z=symsolvesimulv2([1 1 2 2],[2 3 4 5 8 24]);

2 x + 3 y = 8

2 2
4 x + 5 y = 24

>> z

z =

[ 1, 2]
[ 13/7, 10/7]

These are the solutions for the 2 equations i.e. x = 1, y=2,
x=13/7, y = 10/7.
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The code I wrote for 'solvesimulv2' is attached. Save it to your working folder and run as above.