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Applications of Linear Systems

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Problem Solving With Linear Systems

We have solved linear systems of equations:

  • graphically
  • using substitution
  • using elimination

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Lesson Goals

  • Given a description in words, create a linear system of equations to model the scenario.
  • Solve a linear system to answer a problem using a variety of methods and interpret the meaning of the solution within the given context.

Try This

The sum of the digits of a two digit number is \(12\). When the digits of the original number are reversed, the new number is \(18\) less than the original number. What are the digits of the number?