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6.1 Graphing Systems of Equations

Learn how to graph systems of two or more equations to determine their consistency - intersecting lines have one solution, parallel lines have no solution, and coincident lines have infinite solutions. Practice solving systems through examples and apply the concepts to real-world scenarios.

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6.1 Graphing Systems of Equations

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  1. 6.1 Graphing Systems of Equations

  2. System of Equations: two or more equations

  3. Ex 1: State whether system is consistent, inconsistent, or dependent:

  4. Intersecting Lines = Consistent System w/ One solution • Parallel Lines = Inconsistent System w/ No Solution • Coincident Lines = Dependent System w/ Infinite Solutions

  5. Ex 2: Solve the system by graphing

  6. Ex 3: Solve the system by graphing

  7. Ex 4: Joe and Josh each want to buy a video game. Joe has $14 and saves $10 per week. Josh has $26 and saves $7 a wekk. In how many weeks will they have the same amount?

  8. Homework: 6.1 pg. 521#11 – 35 odds,(13 problems)

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