Is it possible to use PYTHON to solve the following problem?

Suppose given a list of numbers like 1,2,3,4,5,6,7,8,9.

And equations ( ) - ( ) = ( ); ( ) + ( ) = ( ); ( ) + ( ) = ( )

We need to find a solution to these equations using numbers given above, and each number can only be used once.

If there's no solution, return no solution.

I'm thinking to use loops and try every possibilities, but I can not think a good way to do this.