solve two equations that depend on a third variable in matlab

To solve two equations that depend on a third variable in MATLAB, you can use the solve function. Here is an example code snippet that demonstrates how to do this:

main.m
syms x y z  % Define symbolic variables
eqn1 = x + 2*y - z == 1;  % First equation
eqn2 = x - y + z == 2;  % Second equation

% Solve the equations with respect to x and y
solutions = solve([eqn1, eqn2], [x, y]);

% Display the solutions
x_solution = solutions.x
y_solution = solutions.y
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In this code, we first define the symbolic variables x, y, and z. Then, we define the two equations eqn1 and eqn2. Next, we use the solve function to solve the equations with respect to the variables x and y. Finally, we display the solutions for x and y.

You can modify the equations and variables in the code to suit your specific problem.