Systems of Linear Equations - Activity A


Solve a system of linear equations by graphing and finding the intersection of the lines of the equations. Create a system of equations, examine its graph, matrix, and table of values, and determine the solution of the system.

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Assessment Questions (5):

  1. How many solutions does the system x + y = 3 and 2x + 2y = 5 have?
  2. If a system of linear equations has the unique solution (2, −3), then its graph consists of what?
  3. Which of the following systems is dependent?
  4. Which of the following operations will change the solution of the system x − y = 2 and 3x − 3y = 2?
  5. The system 2x − 4y = 6 and x − y = −3 is independent. Replacing x − y = −3 with which of the following equations would result in an inconsistent system?

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