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How to Solve Simultaneous Equations Quickly Using a Trick

29.9K views
•
May 29, 2023
by
tecmath
YouTube video player
How to Solve Simultaneous Equations Quickly Using a Trick

TL;DR

To solve simultaneous equations quickly, use a method involving cross multiplication and subtraction. Select one coefficient to simplify the process, apply the trick to isolate variables, and substitute back to find the solutions. With practice, you can solve these equations in under 10 seconds.

Transcript

good day welcome to techmath channel I'm Josh today I'm going to show you the fastest and easiest way of solving a set of simultaneous equations and I can guarantee you this will not be a way that you'll ever be taught in school your teacher will not even know this way exists but I tell you it's a really really easy way of doing this so let's just ... Read More

Key Insights

  • 👨‍🏫 The video presents a unique method for solving simultaneous equations that is not typically taught in schools.
  • 😵 The method involves cross multiplication and subtracting corresponding values to find the unknown variables.
  • 👻 The process is demonstrated using multiple examples, allowing viewers to practice and gain confidence in applying the method.
  • 💨 This method eliminates the need for complex operations, making it faster and easier to solve simultaneous equations.
  • ❓ With practice, individuals can become adept at using this method and solve simultaneous equations quickly.
  • 😫 The method can be applied to any set of simultaneous equations, providing a versatile tool for problem-solving.
  • 🫵 The video encourages viewers to practice and improve their skills in solving simultaneous equations using this method.

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Questions & Answers

Q: What is the method for solving simultaneous equations demonstrated in the video?

The method involves cross multiplication and subtracting corresponding values of the coefficients and variables. For example, to solve for x, cross multiply with the coefficient of y and subtract the product of another coefficient of y and its variable value.

Q: Why is this method considered faster and easier than traditional methods taught in school?

This method eliminates the need for complex operations like substitution or elimination, making the process more straightforward and less prone to errors. It relies on simple arithmetic and pattern recognition.

Q: Can this method be applied to any set of simultaneous equations?

Yes, the method shown in the video can be used for any set of simultaneous equations. It follows a consistent pattern that can be applied to different variables and coefficients.

Q: How can one practice and improve their ability to solve simultaneous equations using this method?

The best way to improve is by practicing solving different sets of simultaneous equations using the demonstrated method. By doing so, one can become more familiar with the pattern and calculations involved.

Summary & Key Takeaways

  • The video demonstrates a method for solving simultaneous equations quickly and easily.

  • The process involves cross multiplication and subtracting corresponding values to find the unknown variables.

  • The method is presented using multiple examples to help viewers understand and practice the technique.


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