report it to the state to fix the issue

That’s why you show your work!!!

The harshest penalty you should have received would be zero credit for that problem only. I had one student make an error of a factor of 1000 early in one problem, then later made another factor of 1000 error the other way such they cancelled out and bumbled into the correct answer. I awarded partial credit.

You should tell the teacher, there's more than one way to skin a cat and you just discovered a new way to solve the problem.

Dumb luck =/= cheating. you can dispute this.

This is funny I did the exact same thing in high school I used the wrong formula and got the right answer I got full marks with a comment from the teacher saying they didn't know how I did it but I get full marks and he even gave me extra credit for it luckily I decided to teach preschool and kindergarten so I didn't have to deal with that happening

Next, you'll expect your teacher to believe that Australia is both a continent and a country.

I can usually get the answers, but have problems "showing my work". I can relate.