Solving Systems Equations in Three Variables

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Presentation transcript:

Solving Systems Equations in Three Variables 1 Steps 2 One Solution, Infinite Solutions, No Solution Scenarios 3 Practice Problems www.themegallery.com

Solving Systems Equations in Three Variables Steps Pick 2 equations Use elimination to remove one variable Pick another set of equations Use elimination to eliminate the SAME variable You now have 2 equations with 2 variables Use elimination to solve the 2 new equations You should now have 2 of the three variables solved Substitute your 2 solutions into any of the original equations to solve for the third variable Write solutions in ordered pair form www.themegallery.com

Solutions Key If you get three answers, there is one solution If you get an answer of ‘a constant = same constant’ (0=0, 5=5, etc.), AND you can use elimination to solve the other two equations without getting a no solution case, there are infinite solutions If you get a solution of ‘a constant = a different constant’ (0=3, 9=5, etc.), there are no solutions www.themegallery.com

One Solution www.themegallery.com

One Solution (Cont.) www.themegallery.com

One Solution (Cont.) www.themegallery.com

One Solution (Cont.) www.themegallery.com

Infinite Solutions www.themegallery.com

Infinite Solutions (Cont.) www.themegallery.com

No Solutions www.themegallery.com