Algebra Shortcut Trick - how to solve equations instantly (2) | Summary and Q&A

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September 26, 2014
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tecmath
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Algebra Shortcut Trick - how to solve equations instantly (2)

TL;DR

Learn how to solve linear equations with variables on both sides by grouping the X numbers on one side and the constant numbers on the other side.

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Key Insights

  • 🍉 Linear equations with variables on both sides can be solved by isolating the X terms on one side and the constant terms on the other.
  • 🤘 You can skip steps in the solution process by considering the sign and removing or undoing certain operations.
  • 🙃 Multiplying or dividing both sides by the same number does not affect the equality of the equation.
  • 🍉 Canceling out like terms simplifies the equation and helps find the value of X.
  • 🙃 When subtracting or adding to eliminate a term, apply the opposite operation to both sides of the equation.
  • 🤔 Solving equations requires logical thinking and understanding of basic mathematical operations.
  • 🆘 Practice and familiarity with different examples of linear equations help improve problem-solving skills.

Transcript

good day welcome to Tech math Channel what we're going to be having a look at in this video is we're going to be looking at a way of solving uh linear equations with variables on both sides uh this is a pretty easy thing to do so I'll show you a way of doing this um now these are the questions that look like this they you might get something that l... Read More

Questions & Answers

Q: How do you solve linear equations with variables on both sides?

To solve these equations, you need to group all the X terms on one side and all the constant terms on the other side. By canceling out like terms, you can simplify the equation to find the value of X.

Q: Can you skip steps when solving these equations?

Yes, you can skip a few steps. For example, if you have a positive constant on one side, you can simply remove it from the other side without subtracting it. This saves time and makes the solution process quicker.

Q: What is the importance of canceling out like terms?

Canceling out like terms allows you to simplify the equation and isolate the X variable. By removing the X terms on one side and the constant terms on the other, you can easily solve for X.

Q: How do you handle subtraction in these equations?

If you encounter subtraction, you can do the opposite operation on both sides to eliminate it. For example, if you have -3 on one side, you can add 3 to both sides to cancel out the subtraction.

Summary & Key Takeaways

  • This video teaches an easy method for solving linear equations with variables on both sides.

  • The method involves isolating the X terms on one side of the equation and the constant terms on the other side.

  • By canceling out like terms, the equation can be simplified to find the value of X.

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