How to Write Inverses of Equations

By Rachel Kaplove

Writing 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.


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.

About the Author

Rachel Kaplove has worked as a professional private tutor since 2005. Specializing in Math and Science, she tutors students from the second grade level to advanced high school honors levels.