Solving Systems of Equations-graphing and Elimination

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This PPT is a quick review of solving systems of equations by graphing and using elimination.

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Solving Systems of Equations-graphing and Elimination

  1. 1. Finite Mathematics Mrs. Guevara
  2. 2. Warm Up <ul><li>Write each equation in slope intercept form </li></ul>
  3. 3. Objectives : Solve systems of linear equations -By Graphing and -with Algebra. Lesson 3-1A : Systems of Two Linear Equations in Two Variables.
  4. 4. System of equations : a set of two or more equations. Unique Solution : intersecting lines (only one solution). Inconsistent : parallel lines (no solution). Dependent : same line (infinitely many solutions) What is a system of Equations? What do solutions of a system look like? (x,y) Graphing Algebra x = y = 0 ≠ 2 1 ≠ 5 -4 ≠ 4 0 = 0 1 = 1 -4 = -4 x y x y x y
  5. 5. 4 2 The solution is at (4, 2). Solve the system of equations a) with Algebra & b) with Graphing.
  6. 6. The system is dependent, there are infinitely many solutions. Solve the system of equations a) with Algebra & b) with Graphing.
  7. 7. The system is inconsistent, there is no solution. Solve the system of equations a) with Algebra & b) with Graphing.
  8. 8. A26:Page 163, #30 & 31 DO NOT FOLLOW BOOK INSTRUCTIONS For each problem, solve by graphing and algebraically. 30) 31) Graph and Algebra Graph and Algebra X=? Y=? X=? Y=? (x,y) (x,y) Writing: In complete sentences, describe how the graph of a System of equations relates to the algebra when: there is one solution, no solution, or many solutions.

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