Algebra trick - solve equations instantly for variables on each side of the equation | Summary and Q&A

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October 17, 2013
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tecmath
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Algebra trick - solve equations instantly for variables on each side of the equation

TL;DR

This video demonstrates how to solve algebraic equations with pronumerals on both sides using simple steps.

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Questions & Answers

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

To solve equations with pronumerals on both sides, the first step is to isolate the pronumerals on one side and the constants on the other side. Then simplify the equation using addition, subtraction, multiplication, or division, until the pronumeral is isolated.

Q: What is the significance of the opposite operation in solving equations?

The opposite operation is used to eliminate terms or numbers on one side of the equation and move them to the other side. This helps to isolate the pronumerals and simplify the equation.

Q: Can you explain the steps for solving the equation x - 15 = 2x + 11?

To solve this equation, start by isolating the pronumerals. Subtract x from both sides to get -15 = x + 11. Then, subtract 11 from both sides to get -26 = x. Therefore, the solution is x = -26.

Q: Are all algebraic equations with pronumerals on both sides solved using the same steps?

Yes, the steps to solve equations with pronumerals on both sides remain consistent. The goal is to isolate the pronumerals on one side and the constants on the other side, and then simplify the equation to find the solution.

Summary & Key Takeaways

  • The video explains the process of solving equations with pronumerals on both sides, using examples such as 5a - 9 = 3a + 11 and x - 15 = 2x + 11.

  • The key approach is to isolate the pronumerals on one side of the equation and the constants on the other side.

  • The solutions are obtained by simplifying the equations and solving for the pronumeral by applying appropriate operations.

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