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Solve Variables in the Denominator | Linear Equations | Eat Pi
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Solve Variables in the Denominator | Linear Equations | Eat Pi

How to Solve for a Variable in the Denominator

Introduction to the Problem

  • The video begins with an introduction, addressing viewers as "friggin geniuses" and stating the goal: teaching how to solve for a variable located in the denominator of a fraction.
  • An example is presented: 30/x = 10 , where x is the variable in question.

Steps to Solve the Equation

  • The first step involves multiplying both sides of the equation by x . This is crucial because whatever operation is performed on one side must also be done on the other side.
  • After multiplication, x cancels out from both sides, simplifying the equation to 30 = 10x . The variable has now been moved to the numerator.

Isolating the Variable

  • To isolate x , division by 10 is necessary since it was multiplied by 10. Again, this operation must be applied equally on both sides of the equation.
  • Simplifying further leads to x = 30/10 = 3. Thus, the final answer is that x equals 3.

Conclusion and Viewer Engagement

  • The presenter concludes by encouraging viewers to leave feedback through thumbs up or comments if they have questions. A playlist for further learning resources is mentioned at the end of the video.
Video description

In this video, I teach you how to solve for a variable in the denominator of a fraction. I use the multiplication property of equality to solve the algebraic equation. There's a Pre-Algebra playlist attached at the end of the video if you need help with any other topics. If you have any questions, please leave them in the comment section below! Also, if you find the videos helpful, please like, share, and subscribe!