# Algorithm to solve a system of two equations and a set of constraints

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Alejandro Fernández on 15 Oct 2020
Answered: Prudhvi Peddagoni on 19 Oct 2020
Hello, I was wondering if anyone could implement an algorithm that could solve a system of equations with 4 unknowns (a,b,c,d) and two equations, to make it soluble a series of restrictions are added:
• The values of the four variables can only be powers of 10 from 1000 to 10000 of the following values, for example it could be 1200, 15000, 270000, etc.:
val = [1, 1.2 , 1.5, 1.8, 2.2 , 2.7, 3.3, 3.9, 4.7, 5.6, 6.8, 8.2]
• It should always be put of initial condition that the variables a and d take the value 1000, and from there that it is found the solution that better approximates the result using these values.
As an example I leave here a possible system of equations.

Prudhvi Peddagoni on 19 Oct 2020
Hi,
you can use solve function to do this. the documentation for this function and the examples can be found here.
Hope this helps.

R2020b

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