Java how to solve simultaneous equations in mathematica

To solve simultaneous equations in Mathematica, you can use the Solve function and specify the equations as an array or a list of equations.

Here's an example of how you can solve a system of two simultaneous equations:

Solve[{x + y == 3, x - y == 1}, {x, y}]

This will solve the system of equations x + y = 3 and x - y = 1 for the variables x and y, and return the solutions as a list of lists.

For example, the output of this code might be:

{{x -> 2, y -> 1}, {x -> 4, y -> -1}}

This indicates that there are two solutions to the system of equations: x = 2 and y = 1, or x = 4 and y = -1.

You can also use the Solve function to solve systems of equations with more than two equations and variables. For example, to solve a system of three equations with three variables, you can use the following syntax:

Solve[{x + y + z == 3, x - y + z == 1, x + y - z == 2}, {x, y, z}]

This will solve the system of equations x + y + z = 3, x - y + z = 1, and x + y - z = 2 for the variables x, y, and z, and return the solutions as a list of lists.

Note that the Solve function may not always be able to find a solution to a given system of equations, or it may find multiple solutions that are not all valid. In such cases, you may need to use other methods or techniques to solve the equations.