automatically rearrange an equation in matlab

To automatically rearrange an equation in MATLAB, follow these steps:

1. Define the equation using symbolic variables and the 'sym' function:

   main.m
   syms x y z
   eqn = x + y + z == 10;
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2. Use the 'solve' function to rearrange the equation for a specific variable. For example, to solve for 'x':

   main.m
   soln = solve(eqn, x);
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   The output will be:

   main.m
   soln = 10 - y - z
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3. To rearrange the equation for a different variable, simply replace 'x' with that variable in the 'solve' function. For example, to solve for 'y':

   main.m
   soln = solve(eqn, y);
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   The output will be:

   main.m
   soln = 10 - x - z
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4. To solve for multiple variables at once, pass a vector of the variables to the 'solve' function. For example, to solve for 'x' and 'y':

   main.m
   soln = solve(eqn, [x, y]);
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   The output will be:

   main.m
   soln.x = 10 - y - z
   soln.y = 10 - x - z
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   Note that the output is a structure with fields for each variable.

You can also use the 'simplify' function to simplify the equation after rearranging it. For example:

main.m
eqn = simplify(eqn);
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This will simplify the equation and store the result in 'eqn'.