Is my solution correct?

1. How do you check if your solution is correct?
2. What is correct solution to or solution of?
3. Is solution same as answer?
4. Do we say solutions for?

How do you check if your solution is correct?

We check a solution to an equation by replacing the variable in the equation with the value of the solution. A solution should result in a true statement when simplified.

What is correct solution to or solution of?

The usual preposition to use with solution is to, not of: ✗ The role of the government is to find the solution of this problem. ✓ The role of the government is to find the solution to this problem.

Is solution same as answer?

An answer is a response to a question and it may not be correct. A solution is a correct answer that fully satisfies the question.

Do we say solutions for?

Usually, one will find that to is the preposition of choice for the word solution. However, for is preferred in certain cases, and I give two examples to illustrate this: A bunch of students are working on a physics problem set in the common room.