# How to Write Inverses of Equations

By Rachel KaploveWriting inverses of equations is something that you might do by swapping variables. Write inverses of equations with help from a professional private tutor in this free video clip.

### Transcript

Hi, I'm Rachel, and today we're going to be going over how to write inverses of equations. Well if we have an equation like Y equals we'll say 3X plus 2 and we want to find the inverse we simply swap the X and the Y in the equation. So, in this case, we have X equals 3Y plus 2 and that's the inverse but we usually like to write it as Y equals, right if we're about to graph it or something like that. So it will make it much simpler. So let's take this new inverse and solve for Y so that we can write it in a form like this. Well we are solving for Y so we want to isolate the Y so first we get rid of what's not touching the Y which is the 2, subtract 2 from both sides, X minus 2 equals 3Y and then we have to divide it all by 3. So Y equals 1/3X minus 2/3 and that is the inverse of this equation. And that's it. I'm Rachel and thank you for learning with me today.