6-3 & 6-4 Elimination Goals: Solve systems using linear combinations.

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Presentation transcript:

6-3 & 6-4 Elimination Goals: Solve systems using linear combinations. Interpret solutions to special problems. Eligible Content: A1.1.2.2.1 / A1.1.2.2.2

Practice Complete Worksheet – “Mythical Math”

Special Problems No solution Many solutions There is no point in common All variables will cancel out You will be left with a false statement: 4 = 12 Many solutions There are many points in common You will be left with a true statement: 5 = 5

Examples 2x + y = 5 4x + 2y = 10 Many solutions –6x + 2y = –8 No solution 4x – 2y = 14 6x – 3y = 18 No solution –x + 2y = –2 3x – 6y = 6 Many solutions

Use elimination to solve the system of equations Use elimination to solve the system of equations. 3x – 2y = 3 –6x + 4y = –6 A. one; (0, 0) B. no solution C. infinitely many solutions D. cannot be determined

Practice (not all problems are special) –2x – 3y = 6 4x + 6y = –12 4x + 2y = –5 4x + 2y = –6 –2x + 6y = 6 3x + 7y = 23 many solutions No solution (3, 2)

Homework Page 354 #14-18 even Page 360 #14-18 even