Algebra: Linear equations 1 | Linear equations | Algebra I | Khan Academy

Khan Academy2 minutes read

Linear equations involve finding the value of a variable in an equation by dividing or multiplying by the coefficient, especially when dealing with fractions. Check the solution by substituting it back into the original equation for accuracy, and practice solving equations using these methods.

Insights

  • Linear equations involve finding the value of an unknown variable in an equation, which can be done by dividing or multiplying both sides by the coefficient of the variable or its reciprocal.
  • To ensure accuracy, always verify the solution obtained by substituting it back into the original equation, especially when dealing with fractions or more complex linear equations.

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Recent questions

  • How do you solve linear equations?

    By dividing or multiplying by the coefficient.

  • What should you do with fractions in equations?

    Multiply by the reciprocal of the fraction.

  • Why is it important to check your solution in linear equations?

    To ensure accuracy and correctness.

  • How can you practice solving level one linear equations?

    By applying methods like dividing or multiplying.

  • What is the purpose of finding the value of a variable in an equation?

    To determine the unknown quantity.

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Summary

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Solving Linear Equations with Reciprocals

  • Linear equations involve finding the value of a variable in an equation, such as 5x = 20, where x is the unknown variable to solve for.
  • To solve linear equations, you can either divide both sides by the coefficient of the variable (5 in this case) or multiply by the reciprocal of the coefficient.
  • When dealing with fractions in equations, multiply both sides by the reciprocal of the fraction to solve for the variable.
  • It's essential to check your solution by substituting it back into the original equation to ensure accuracy.
  • Practice solving level one linear equations by applying the methods learned, like dividing or multiplying by the reciprocal of the coefficient.
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