create a code that solves a system of expressions in matlab

Matlab has a built-in function solve that can be used to solve systems of equations containing symbolic variables.

Here's an example code that demonstrates how to use the solve function to solve a system of equations:

main.m
syms x y z
eq1 = 2*x + 3*y - z == 1;
eq2 = -x + 4*y + 2*z == -2;
eq3 = 3*x - 2*y - z == 3;

sol = solve([eq1, eq2, eq3], [x, y, z]);
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In this code, we define three symbolic variables x, y, and z. We then define three equations eq1, eq2, and eq3 that contain these variables. Finally, we call the solve function, passing in an array of all three equations, and an array of all three variables we want to solve for.

The output of the solve function is a struct containing the solution to the system of equations. In this example, the solution is:

main.m
sol =
  struct with fields:

    x: -4/17
    y: -5/17
    z: -6/17
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This means that x = -4/17, y = -5/17, and z = -6/17 are the solutions to the system of equations defined by eq1, eq2, and eq3.

Note that the solve function can only be used to solve algebraic equations, not differential equations or systems of partial differential equations.