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6-1 Graphing Systems of Equations

6-1 Graphing Systems of Equations. N#_____ ____/____/____. System of equations – two or more equations. Solution is an ordered pair that satisfies all equations. Where the lines intersect There can be 0, 1, or an infinite number of solutions. Intersecting Lines. Same Line.

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6-1 Graphing Systems of Equations

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  1. 6-1 Graphing Systems of Equations N#_____ ____/____/____

  2. System of equations – two or more equations • Solution is an ordered pair that satisfies all equations. • Where the lines intersect • There can be 0, 1, or an infinite number of solutions.

  3. Intersecting Lines Same Line Parallel Lines Infinitely many solutions No solutions One Solution Consistent (intersecting) Consistent (intersecting) Inconsistent (do not intersect) Dependent (more than one solution) Independent (one solution)

  4. Ex 1Which system has no solution, one solution or infinitely many solutions.

  5. Ex 2 Solve the system of equations. 2x – y = -3 8x – 4y = -12

  6. Ex 3 Solve the system of equations. x – 2y = 4 x – 2y = -12

  7. Ex 4 Solve the system of equations. y = -x + 8 y = 4x - 7

  8. A#____ ____/____/____ PWS 6-1 #’s 1-7

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